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Finding the Fourth Proportional to 11,562.60, 15,954.12 and 6,848.40

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Solution

The fourth proportional to 11,562.60, 15,954.12 and 6,848.40 is: 9,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.60 : 15,954.12 = 6,848.40 : x
  2. Step 2: Convert to fraction form
    11,562.60/15,954.12 = 6,848.40/x
  3. Step 3: Cross multiply
    11,562.60x = 15,954.12 × 6,848.40
  4. Step 4: Simplify right side
    11,562.60x = 109,260,195.41
  5. Step 5: Solve for x
    x = 109,260,195.41/11,562.60
  6. Step 6: Final answer
    x = 9,449.45

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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.