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Finding the Fourth Proportional to 10,701.02, 14,769.14 and 6,722.71

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Solution

The fourth proportional to 10,701.02, 14,769.14 and 6,722.71 is: 9,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.02 : 14,769.14 = 6,722.71 : x
  2. Step 2: Convert to fraction form
    10,701.02/14,769.14 = 6,722.71/x
  3. Step 3: Cross multiply
    10,701.02x = 14,769.14 × 6,722.71
  4. Step 4: Simplify right side
    10,701.02x = 99,288,574.63
  5. Step 5: Solve for x
    x = 99,288,574.63/10,701.02
  6. Step 6: Final answer
    x = 9,278.42

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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.