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Finding the Fourth Proportional to 4,691.44, 7,034.77 and 1,570.32

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Solution

The fourth proportional to 4,691.44, 7,034.77 and 1,570.32 is: 2,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.44 : 7,034.77 = 1,570.32 : x
  2. Step 2: Convert to fraction form
    4,691.44/7,034.77 = 1,570.32/x
  3. Step 3: Cross multiply
    4,691.44x = 7,034.77 × 1,570.32
  4. Step 4: Simplify right side
    4,691.44x = 11,046,833.16
  5. Step 5: Solve for x
    x = 11,046,833.16/4,691.44
  6. Step 6: Final answer
    x = 2,354.68

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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.