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Finding the Fourth Proportional to 9,264.81, 13,882.65 and 7,161.58

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Solution

The fourth proportional to 9,264.81, 13,882.65 and 7,161.58 is: 10,731.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.81 : 13,882.65 = 7,161.58 : x
  2. Step 2: Convert to fraction form
    9,264.81/13,882.65 = 7,161.58/x
  3. Step 3: Cross multiply
    9,264.81x = 13,882.65 × 7,161.58
  4. Step 4: Simplify right side
    9,264.81x = 99,421,699.08
  5. Step 5: Solve for x
    x = 99,421,699.08/9,264.81
  6. Step 6: Final answer
    x = 10,731.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.