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Finding the Fourth Proportional to 11,454.32, 15,808.08 and 6,419.40

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Solution

The fourth proportional to 11,454.32, 15,808.08 and 6,419.40 is: 8,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.32 : 15,808.08 = 6,419.40 : x
  2. Step 2: Convert to fraction form
    11,454.32/15,808.08 = 6,419.40/x
  3. Step 3: Cross multiply
    11,454.32x = 15,808.08 × 6,419.40
  4. Step 4: Simplify right side
    11,454.32x = 101,478,365.28
  5. Step 5: Solve for x
    x = 101,478,365.28/11,454.32
  6. Step 6: Final answer
    x = 8,859.39

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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.