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Finding the Fourth Proportional to 7,165.80, 10,748.70 and 4,242.60

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Solution

The fourth proportional to 7,165.80, 10,748.70 and 4,242.60 is: 6,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.80 : 10,748.70 = 4,242.60 : x
  2. Step 2: Convert to fraction form
    7,165.80/10,748.70 = 4,242.60/x
  3. Step 3: Cross multiply
    7,165.80x = 10,748.70 × 4,242.60
  4. Step 4: Simplify right side
    7,165.80x = 45,602,434.62
  5. Step 5: Solve for x
    x = 45,602,434.62/7,165.80
  6. Step 6: Final answer
    x = 6,363.90

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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.