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Finding the Fourth Proportional to 9,602.38, 13,248.24 and 7,579.41

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Solution

The fourth proportional to 9,602.38, 13,248.24 and 7,579.41 is: 10,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.38 : 13,248.24 = 7,579.41 : x
  2. Step 2: Convert to fraction form
    9,602.38/13,248.24 = 7,579.41/x
  3. Step 3: Cross multiply
    9,602.38x = 13,248.24 × 7,579.41
  4. Step 4: Simplify right side
    9,602.38x = 100,413,842.74
  5. Step 5: Solve for x
    x = 100,413,842.74/9,602.38
  6. Step 6: Final answer
    x = 10,457.18

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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.