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Finding the Fourth Proportional to 10,671.60, 14,724.40 and 7,656.24

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Solution

The fourth proportional to 10,671.60, 14,724.40 and 7,656.24 is: 10,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.60 : 14,724.40 = 7,656.24 : x
  2. Step 2: Convert to fraction form
    10,671.60/14,724.40 = 7,656.24/x
  3. Step 3: Cross multiply
    10,671.60x = 14,724.40 × 7,656.24
  4. Step 4: Simplify right side
    10,671.60x = 112,733,540.26
  5. Step 5: Solve for x
    x = 112,733,540.26/10,671.60
  6. Step 6: Final answer
    x = 10,563.88

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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.