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Finding the Fourth Proportional to 9,186.52, 12,675.18 and 5,828.11

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Solution

The fourth proportional to 9,186.52, 12,675.18 and 5,828.11 is: 8,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.52 : 12,675.18 = 5,828.11 : x
  2. Step 2: Convert to fraction form
    9,186.52/12,675.18 = 5,828.11/x
  3. Step 3: Cross multiply
    9,186.52x = 12,675.18 × 5,828.11
  4. Step 4: Simplify right side
    9,186.52x = 73,872,343.31
  5. Step 5: Solve for x
    x = 73,872,343.31/9,186.52
  6. Step 6: Final answer
    x = 8,041.38

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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.