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Finding the Fourth Proportional to 7,294.90, 10,065.09 and 4,422.10

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Solution

The fourth proportional to 7,294.90, 10,065.09 and 4,422.10 is: 6,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.90 : 10,065.09 = 4,422.10 : x
  2. Step 2: Convert to fraction form
    7,294.90/10,065.09 = 4,422.10/x
  3. Step 3: Cross multiply
    7,294.90x = 10,065.09 × 4,422.10
  4. Step 4: Simplify right side
    7,294.90x = 44,508,834.49
  5. Step 5: Solve for x
    x = 44,508,834.49/7,294.90
  6. Step 6: Final answer
    x = 6,101.36

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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.