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Finding the Fourth Proportional to 10,264.60, 14,165.10 and 5,548.84

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Solution

The fourth proportional to 10,264.60, 14,165.10 and 5,548.84 is: 7,657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.60 : 14,165.10 = 5,548.84 : x
  2. Step 2: Convert to fraction form
    10,264.60/14,165.10 = 5,548.84/x
  3. Step 3: Cross multiply
    10,264.60x = 14,165.10 × 5,548.84
  4. Step 4: Simplify right side
    10,264.60x = 78,599,873.48
  5. Step 5: Solve for x
    x = 78,599,873.48/10,264.60
  6. Step 6: Final answer
    x = 7,657.37

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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.