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Finding the Fourth Proportional to 9,065.50, 12,509.31 and 5,289.46

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Solution

The fourth proportional to 9,065.50, 12,509.31 and 5,289.46 is: 7,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.50 : 12,509.31 = 5,289.46 : x
  2. Step 2: Convert to fraction form
    9,065.50/12,509.31 = 5,289.46/x
  3. Step 3: Cross multiply
    9,065.50x = 12,509.31 × 5,289.46
  4. Step 4: Simplify right side
    9,065.50x = 66,167,494.87
  5. Step 5: Solve for x
    x = 66,167,494.87/9,065.50
  6. Step 6: Final answer
    x = 7,298.82

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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.