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Finding the Fourth Proportional to 7,151.76, 9,869.18 and 4,168.53

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Solution

The fourth proportional to 7,151.76, 9,869.18 and 4,168.53 is: 5,752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.76 : 9,869.18 = 4,168.53 : x
  2. Step 2: Convert to fraction form
    7,151.76/9,869.18 = 4,168.53/x
  3. Step 3: Cross multiply
    7,151.76x = 9,869.18 × 4,168.53
  4. Step 4: Simplify right side
    7,151.76x = 41,139,952.06
  5. Step 5: Solve for x
    x = 41,139,952.06/7,151.76
  6. Step 6: Final answer
    x = 5,752.42

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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.