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Finding the Fourth Proportional to 10,552.74, 15,899.49 and 9,553.32

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Solution

The fourth proportional to 10,552.74, 15,899.49 and 9,553.32 is: 14,393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.74 : 15,899.49 = 9,553.32 : x
  2. Step 2: Convert to fraction form
    10,552.74/15,899.49 = 9,553.32/x
  3. Step 3: Cross multiply
    10,552.74x = 15,899.49 × 9,553.32
  4. Step 4: Simplify right side
    10,552.74x = 151,892,915.81
  5. Step 5: Solve for x
    x = 151,892,915.81/10,552.74
  6. Step 6: Final answer
    x = 14,393.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.