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Finding the Fourth Proportional to 35,862.84, 53,794.17 and 10,902.78

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Solution

The fourth proportional to 35,862.84, 53,794.17 and 10,902.78 is: 16,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,862.84 : 53,794.17 = 10,902.78 : x
  2. Step 2: Convert to fraction form
    35,862.84/53,794.17 = 10,902.78/x
  3. Step 3: Cross multiply
    35,862.84x = 53,794.17 × 10,902.78
  4. Step 4: Simplify right side
    35,862.84x = 586,506,000.79
  5. Step 5: Solve for x
    x = 586,506,000.79/35,862.84
  6. Step 6: Final answer
    x = 16,354.14

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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.