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Finding the Fourth Proportional to 8,537.40, 12,814.20 and 7,306.20

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Solution

The fourth proportional to 8,537.40, 12,814.20 and 7,306.20 is: 10,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.40 : 12,814.20 = 7,306.20 : x
  2. Step 2: Convert to fraction form
    8,537.40/12,814.20 = 7,306.20/x
  3. Step 3: Cross multiply
    8,537.40x = 12,814.20 × 7,306.20
  4. Step 4: Simplify right side
    8,537.40x = 93,623,108.04
  5. Step 5: Solve for x
    x = 93,623,108.04/8,537.40
  6. Step 6: Final answer
    x = 10,966.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.