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Finding the Fourth Proportional to 8,314.40, 11,464.80 and 8,230.16

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Solution

The fourth proportional to 8,314.40, 11,464.80 and 8,230.16 is: 11,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.40 : 11,464.80 = 8,230.16 : x
  2. Step 2: Convert to fraction form
    8,314.40/11,464.80 = 8,230.16/x
  3. Step 3: Cross multiply
    8,314.40x = 11,464.80 × 8,230.16
  4. Step 4: Simplify right side
    8,314.40x = 94,357,138.37
  5. Step 5: Solve for x
    x = 94,357,138.37/8,314.40
  6. Step 6: Final answer
    x = 11,348.64

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.