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Finding the Fourth Proportional to 7,167.48, 9,878.22 and 5,301.24

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Solution

The fourth proportional to 7,167.48, 9,878.22 and 5,301.24 is: 7,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.48 : 9,878.22 = 5,301.24 : x
  2. Step 2: Convert to fraction form
    7,167.48/9,878.22 = 5,301.24/x
  3. Step 3: Cross multiply
    7,167.48x = 9,878.22 × 5,301.24
  4. Step 4: Simplify right side
    7,167.48x = 52,366,814.99
  5. Step 5: Solve for x
    x = 52,366,814.99/7,167.48
  6. Step 6: Final answer
    x = 7,306.17

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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.