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Finding the Fourth Proportional to 10,017, 15,022.80 and 3,776.58

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Solution

The fourth proportional to 10,017, 15,022.80 and 3,776.58 is: 5,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017 : 15,022.80 = 3,776.58 : x
  2. Step 2: Convert to fraction form
    10,017/15,022.80 = 3,776.58/x
  3. Step 3: Cross multiply
    10,017x = 15,022.80 × 3,776.58
  4. Step 4: Simplify right side
    10,017x = 56,734,806.02
  5. Step 5: Solve for x
    x = 56,734,806.02/10,017
  6. Step 6: Final answer
    x = 5,663.85

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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.