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Finding the Fourth Proportional to 7,151.88, 9,869.40 and 4,167.84

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Solution

The fourth proportional to 7,151.88, 9,869.40 and 4,167.84 is: 5,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.88 : 9,869.40 = 4,167.84 : x
  2. Step 2: Convert to fraction form
    7,151.88/9,869.40 = 4,167.84/x
  3. Step 3: Cross multiply
    7,151.88x = 9,869.40 × 4,167.84
  4. Step 4: Simplify right side
    7,151.88x = 41,134,080.10
  5. Step 5: Solve for x
    x = 41,134,080.10/7,151.88
  6. Step 6: Final answer
    x = 5,751.51

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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.