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Finding the Fourth Proportional to 8,002.40, 12,000.36 and 2,807.60

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Solution

The fourth proportional to 8,002.40, 12,000.36 and 2,807.60 is: 4,210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.40 : 12,000.36 = 2,807.60 : x
  2. Step 2: Convert to fraction form
    8,002.40/12,000.36 = 2,807.60/x
  3. Step 3: Cross multiply
    8,002.40x = 12,000.36 × 2,807.60
  4. Step 4: Simplify right side
    8,002.40x = 33,692,210.74
  5. Step 5: Solve for x
    x = 33,692,210.74/8,002.40
  6. Step 6: Final answer
    x = 4,210.26

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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.