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Finding the Fourth Proportional to 6,214.36, 9,321.54 and 1,597

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Solution

The fourth proportional to 6,214.36, 9,321.54 and 1,597 is: 2,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.36 : 9,321.54 = 1,597 : x
  2. Step 2: Convert to fraction form
    6,214.36/9,321.54 = 1,597/x
  3. Step 3: Cross multiply
    6,214.36x = 9,321.54 × 1,597
  4. Step 4: Simplify right side
    6,214.36x = 14,886,499.38
  5. Step 5: Solve for x
    x = 14,886,499.38/6,214.36
  6. Step 6: Final answer
    x = 2,395.50

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.