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Finding the Fourth Proportional to 9,344.70, 14,024.70 and 9,271.80

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Solution

The fourth proportional to 9,344.70, 14,024.70 and 9,271.80 is: 13,915.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.70 : 14,024.70 = 9,271.80 : x
  2. Step 2: Convert to fraction form
    9,344.70/14,024.70 = 9,271.80/x
  3. Step 3: Cross multiply
    9,344.70x = 14,024.70 × 9,271.80
  4. Step 4: Simplify right side
    9,344.70x = 130,034,213.46
  5. Step 5: Solve for x
    x = 130,034,213.46/9,344.70
  6. Step 6: Final answer
    x = 13,915.29

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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.