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Finding the Fourth Proportional to 10,002.40, 14,991.60 and 6,882.40

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Solution

The fourth proportional to 10,002.40, 14,991.60 and 6,882.40 is: 10,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.40 : 14,991.60 = 6,882.40 : x
  2. Step 2: Convert to fraction form
    10,002.40/14,991.60 = 6,882.40/x
  3. Step 3: Cross multiply
    10,002.40x = 14,991.60 × 6,882.40
  4. Step 4: Simplify right side
    10,002.40x = 103,178,187.84
  5. Step 5: Solve for x
    x = 103,178,187.84/10,002.40
  6. Step 6: Final answer
    x = 10,315.34

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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.