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Finding the Fourth Proportional to 8,006.40, 12,007.80 and 5,252.40

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Solution

The fourth proportional to 8,006.40, 12,007.80 and 5,252.40 is: 7,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.40 : 12,007.80 = 5,252.40 : x
  2. Step 2: Convert to fraction form
    8,006.40/12,007.80 = 5,252.40/x
  3. Step 3: Cross multiply
    8,006.40x = 12,007.80 × 5,252.40
  4. Step 4: Simplify right side
    8,006.40x = 63,069,768.72
  5. Step 5: Solve for x
    x = 63,069,768.72/8,006.40
  6. Step 6: Final answer
    x = 7,877.42

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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.