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Finding the Fourth Proportional to 10,652.44, 14,686.02 and 7,461.42

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Solution

The fourth proportional to 10,652.44, 14,686.02 and 7,461.42 is: 10,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.44 : 14,686.02 = 7,461.42 : x
  2. Step 2: Convert to fraction form
    10,652.44/14,686.02 = 7,461.42/x
  3. Step 3: Cross multiply
    10,652.44x = 14,686.02 × 7,461.42
  4. Step 4: Simplify right side
    10,652.44x = 109,578,563.35
  5. Step 5: Solve for x
    x = 109,578,563.35/10,652.44
  6. Step 6: Final answer
    x = 10,286.71

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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.