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Finding the Fourth Proportional to 6,258.64, 9,387.80 and 1,641.68

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Solution

The fourth proportional to 6,258.64, 9,387.80 and 1,641.68 is: 2,462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.64 : 9,387.80 = 1,641.68 : x
  2. Step 2: Convert to fraction form
    6,258.64/9,387.80 = 1,641.68/x
  3. Step 3: Cross multiply
    6,258.64x = 9,387.80 × 1,641.68
  4. Step 4: Simplify right side
    6,258.64x = 15,411,763.50
  5. Step 5: Solve for x
    x = 15,411,763.50/6,258.64
  6. Step 6: Final answer
    x = 2,462.48

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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.