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Finding the Fourth Proportional to 6,503.60, 9,742.60 and 6,042.80

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Solution

The fourth proportional to 6,503.60, 9,742.60 and 6,042.80 is: 9,052.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.60 : 9,742.60 = 6,042.80 : x
  2. Step 2: Convert to fraction form
    6,503.60/9,742.60 = 6,042.80/x
  3. Step 3: Cross multiply
    6,503.60x = 9,742.60 × 6,042.80
  4. Step 4: Simplify right side
    6,503.60x = 58,872,583.28
  5. Step 5: Solve for x
    x = 58,872,583.28/6,503.60
  6. Step 6: Final answer
    x = 9,052.31

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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.