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Finding the Fourth Proportional to 9,065.52, 12,509.82 and 5,086.64

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Solution

The fourth proportional to 9,065.52, 12,509.82 and 5,086.64 is: 7,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.52 : 12,509.82 = 5,086.64 : x
  2. Step 2: Convert to fraction form
    9,065.52/12,509.82 = 5,086.64/x
  3. Step 3: Cross multiply
    9,065.52x = 12,509.82 × 5,086.64
  4. Step 4: Simplify right side
    9,065.52x = 63,632,950.80
  5. Step 5: Solve for x
    x = 63,632,950.80/9,065.52
  6. Step 6: Final answer
    x = 7,019.23

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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.