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Finding the Fourth Proportional to 10,283.80, 15,425.70 and 9,627.70

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Solution

The fourth proportional to 10,283.80, 15,425.70 and 9,627.70 is: 14,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.80 : 15,425.70 = 9,627.70 : x
  2. Step 2: Convert to fraction form
    10,283.80/15,425.70 = 9,627.70/x
  3. Step 3: Cross multiply
    10,283.80x = 15,425.70 × 9,627.70
  4. Step 4: Simplify right side
    10,283.80x = 148,514,011.89
  5. Step 5: Solve for x
    x = 148,514,011.89/10,283.80
  6. Step 6: Final answer
    x = 14,441.55

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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.