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Finding the Fourth Proportional to 9,502.10, 13,113.54 and 5,523.20

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Solution

The fourth proportional to 9,502.10, 13,113.54 and 5,523.20 is: 7,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.10 : 13,113.54 = 5,523.20 : x
  2. Step 2: Convert to fraction form
    9,502.10/13,113.54 = 5,523.20/x
  3. Step 3: Cross multiply
    9,502.10x = 13,113.54 × 5,523.20
  4. Step 4: Simplify right side
    9,502.10x = 72,428,704.13
  5. Step 5: Solve for x
    x = 72,428,704.13/9,502.10
  6. Step 6: Final answer
    x = 7,622.39

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Half scale
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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.