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Finding the Fourth Proportional to 6,503.98, 9,753.66 and 2,342.87

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Solution

The fourth proportional to 6,503.98, 9,753.66 and 2,342.87 is: 3,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.98 : 9,753.66 = 2,342.87 : x
  2. Step 2: Convert to fraction form
    6,503.98/9,753.66 = 2,342.87/x
  3. Step 3: Cross multiply
    6,503.98x = 9,753.66 × 2,342.87
  4. Step 4: Simplify right side
    6,503.98x = 22,851,557.40
  5. Step 5: Solve for x
    x = 22,851,557.40/6,503.98
  6. Step 6: Final answer
    x = 3,513.47

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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.