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Finding the Fourth Proportional to 35,705.67, 53,566 and 10,747.55

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Solution

The fourth proportional to 35,705.67, 53,566 and 10,747.55 is: 16,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,705.67 : 53,566 = 10,747.55 : x
  2. Step 2: Convert to fraction form
    35,705.67/53,566 = 10,747.55/x
  3. Step 3: Cross multiply
    35,705.67x = 53,566 × 10,747.55
  4. Step 4: Simplify right side
    35,705.67x = 575,703,263.30
  5. Step 5: Solve for x
    x = 575,703,263.30/35,705.67
  6. Step 6: Final answer
    x = 16,123.58

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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.