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Finding the Fourth Proportional to 9,937.74, 14,892.03 and 4,091.16

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Solution

The fourth proportional to 9,937.74, 14,892.03 and 4,091.16 is: 6,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.74 : 14,892.03 = 4,091.16 : x
  2. Step 2: Convert to fraction form
    9,937.74/14,892.03 = 4,091.16/x
  3. Step 3: Cross multiply
    9,937.74x = 14,892.03 × 4,091.16
  4. Step 4: Simplify right side
    9,937.74x = 60,925,677.45
  5. Step 5: Solve for x
    x = 60,925,677.45/9,937.74
  6. Step 6: Final answer
    x = 6,130.74

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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.