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Finding the Fourth Proportional to 9,596.40, 13,227.48 and 8,300.40

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Solution

The fourth proportional to 9,596.40, 13,227.48 and 8,300.40 is: 11,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.40 : 13,227.48 = 8,300.40 : x
  2. Step 2: Convert to fraction form
    9,596.40/13,227.48 = 8,300.40/x
  3. Step 3: Cross multiply
    9,596.40x = 13,227.48 × 8,300.40
  4. Step 4: Simplify right side
    9,596.40x = 109,793,374.99
  5. Step 5: Solve for x
    x = 109,793,374.99/9,596.40
  6. Step 6: Final answer
    x = 11,441.10

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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.