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Finding the Fourth Proportional to 6,257.74, 9,386.42 and 1,577.74

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Solution

The fourth proportional to 6,257.74, 9,386.42 and 1,577.74 is: 2,366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.74 : 9,386.42 = 1,577.74 : x
  2. Step 2: Convert to fraction form
    6,257.74/9,386.42 = 1,577.74/x
  3. Step 3: Cross multiply
    6,257.74x = 9,386.42 × 1,577.74
  4. Step 4: Simplify right side
    6,257.74x = 14,809,330.29
  5. Step 5: Solve for x
    x = 14,809,330.29/6,257.74
  6. Step 6: Final answer
    x = 2,366.56

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Double scale
Find fourth proportional to 6,258.74, 9,387.92 and 1,578.74
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.