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Finding the Fourth Proportional to 10,757.84, 14,841.68 and 7,931.93

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Solution

The fourth proportional to 10,757.84, 14,841.68 and 7,931.93 is: 10,943.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.84 : 14,841.68 = 7,931.93 : x
  2. Step 2: Convert to fraction form
    10,757.84/14,841.68 = 7,931.93/x
  3. Step 3: Cross multiply
    10,757.84x = 14,841.68 × 7,931.93
  4. Step 4: Simplify right side
    10,757.84x = 117,723,052.97
  5. Step 5: Solve for x
    x = 117,723,052.97/10,757.84
  6. Step 6: Final answer
    x = 10,943.01

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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.