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Finding the Fourth Proportional to 10,041.10, 13,869.93 and 7,712.02

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Solution

The fourth proportional to 10,041.10, 13,869.93 and 7,712.02 is: 10,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.10 : 13,869.93 = 7,712.02 : x
  2. Step 2: Convert to fraction form
    10,041.10/13,869.93 = 7,712.02/x
  3. Step 3: Cross multiply
    10,041.10x = 13,869.93 × 7,712.02
  4. Step 4: Simplify right side
    10,041.10x = 106,965,177.56
  5. Step 5: Solve for x
    x = 106,965,177.56/10,041.10
  6. Step 6: Final answer
    x = 10,652.74

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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.