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Finding the Fourth Proportional to 6,412.96, 8,841.65 and 5,258.90

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Solution

The fourth proportional to 6,412.96, 8,841.65 and 5,258.90 is: 7,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.96 : 8,841.65 = 5,258.90 : x
  2. Step 2: Convert to fraction form
    6,412.96/8,841.65 = 5,258.90/x
  3. Step 3: Cross multiply
    6,412.96x = 8,841.65 × 5,258.90
  4. Step 4: Simplify right side
    6,412.96x = 46,497,353.19
  5. Step 5: Solve for x
    x = 46,497,353.19/6,412.96
  6. Step 6: Final answer
    x = 7,250.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.