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Finding the Fourth Proportional to 10,581.28, 14,602.10 and 5,801.22

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Solution

The fourth proportional to 10,581.28, 14,602.10 and 5,801.22 is: 8,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.28 : 14,602.10 = 5,801.22 : x
  2. Step 2: Convert to fraction form
    10,581.28/14,602.10 = 5,801.22/x
  3. Step 3: Cross multiply
    10,581.28x = 14,602.10 × 5,801.22
  4. Step 4: Simplify right side
    10,581.28x = 84,709,994.56
  5. Step 5: Solve for x
    x = 84,709,994.56/10,581.28
  6. Step 6: Final answer
    x = 8,005.65

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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.