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Finding the Fourth Proportional to 9,687.90, 13,370.55 and 6,543.90

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Solution

The fourth proportional to 9,687.90, 13,370.55 and 6,543.90 is: 9,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.90 : 13,370.55 = 6,543.90 : x
  2. Step 2: Convert to fraction form
    9,687.90/13,370.55 = 6,543.90/x
  3. Step 3: Cross multiply
    9,687.90x = 13,370.55 × 6,543.90
  4. Step 4: Simplify right side
    9,687.90x = 87,495,542.15
  5. Step 5: Solve for x
    x = 87,495,542.15/9,687.90
  6. Step 6: Final answer
    x = 9,031.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.