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Finding the Fourth Proportional to 9,510.52, 14,230.14 and 7,867.84

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Solution

The fourth proportional to 9,510.52, 14,230.14 and 7,867.84 is: 11,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.52 : 14,230.14 = 7,867.84 : x
  2. Step 2: Convert to fraction form
    9,510.52/14,230.14 = 7,867.84/x
  3. Step 3: Cross multiply
    9,510.52x = 14,230.14 × 7,867.84
  4. Step 4: Simplify right side
    9,510.52x = 111,960,464.70
  5. Step 5: Solve for x
    x = 111,960,464.70/9,510.52
  6. Step 6: Final answer
    x = 11,772.28

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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.