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Finding the Fourth Proportional to 10,001.80, 15,002.70 and 9,807.40

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Solution

The fourth proportional to 10,001.80, 15,002.70 and 9,807.40 is: 14,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.80 : 15,002.70 = 9,807.40 : x
  2. Step 2: Convert to fraction form
    10,001.80/15,002.70 = 9,807.40/x
  3. Step 3: Cross multiply
    10,001.80x = 15,002.70 × 9,807.40
  4. Step 4: Simplify right side
    10,001.80x = 147,137,479.98
  5. Step 5: Solve for x
    x = 147,137,479.98/10,001.80
  6. Step 6: Final answer
    x = 14,711.10

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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.