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Finding the Fourth Proportional to 9,315.64, 12,854.64 and 5,282.65

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Solution

The fourth proportional to 9,315.64, 12,854.64 and 5,282.65 is: 7,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.64 : 12,854.64 = 5,282.65 : x
  2. Step 2: Convert to fraction form
    9,315.64/12,854.64 = 5,282.65/x
  3. Step 3: Cross multiply
    9,315.64x = 12,854.64 × 5,282.65
  4. Step 4: Simplify right side
    9,315.64x = 67,906,564.00
  5. Step 5: Solve for x
    x = 67,906,564.00/9,315.64
  6. Step 6: Final answer
    x = 7,289.52

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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.