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Finding the Fourth Proportional to 4,627.87, 6,941.80 and 1,165.12

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Solution

The fourth proportional to 4,627.87, 6,941.80 and 1,165.12 is: 1,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.87 : 6,941.80 = 1,165.12 : x
  2. Step 2: Convert to fraction form
    4,627.87/6,941.80 = 1,165.12/x
  3. Step 3: Cross multiply
    4,627.87x = 6,941.80 × 1,165.12
  4. Step 4: Simplify right side
    4,627.87x = 8,088,030.02
  5. Step 5: Solve for x
    x = 8,088,030.02/4,627.87
  6. Step 6: Final answer
    x = 1,747.68

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Double scale
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Similar ratio
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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.