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Finding the Fourth Proportional to 7,151.80, 9,869.46 and 4,357.30

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Solution

The fourth proportional to 7,151.80, 9,869.46 and 4,357.30 is: 6,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.80 : 9,869.46 = 4,357.30 : x
  2. Step 2: Convert to fraction form
    7,151.80/9,869.46 = 4,357.30/x
  3. Step 3: Cross multiply
    7,151.80x = 9,869.46 × 4,357.30
  4. Step 4: Simplify right side
    7,151.80x = 43,004,198.06
  5. Step 5: Solve for x
    x = 43,004,198.06/7,151.80
  6. Step 6: Final answer
    x = 6,013.06

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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.