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Finding the Fourth Proportional to 7,151.06, 9,869.02 and 4,500.74

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Solution

The fourth proportional to 7,151.06, 9,869.02 and 4,500.74 is: 6,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.06 : 9,869.02 = 4,500.74 : x
  2. Step 2: Convert to fraction form
    7,151.06/9,869.02 = 4,500.74/x
  3. Step 3: Cross multiply
    7,151.06x = 9,869.02 × 4,500.74
  4. Step 4: Simplify right side
    7,151.06x = 44,417,893.07
  5. Step 5: Solve for x
    x = 44,417,893.07/7,151.06
  6. Step 6: Final answer
    x = 6,211.37

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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.