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Finding the Fourth Proportional to 6,475.70, 9,713.55 and 4,142.90

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Solution

The fourth proportional to 6,475.70, 9,713.55 and 4,142.90 is: 6,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.70 : 9,713.55 = 4,142.90 : x
  2. Step 2: Convert to fraction form
    6,475.70/9,713.55 = 4,142.90/x
  3. Step 3: Cross multiply
    6,475.70x = 9,713.55 × 4,142.90
  4. Step 4: Simplify right side
    6,475.70x = 40,242,266.30
  5. Step 5: Solve for x
    x = 40,242,266.30/6,475.70
  6. Step 6: Final answer
    x = 6,214.35

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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.