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Finding the Fourth Proportional to 8,277.88, 12,424.10 and 6,980.24

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Solution

The fourth proportional to 8,277.88, 12,424.10 and 6,980.24 is: 10,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.88 : 12,424.10 = 6,980.24 : x
  2. Step 2: Convert to fraction form
    8,277.88/12,424.10 = 6,980.24/x
  3. Step 3: Cross multiply
    8,277.88x = 12,424.10 × 6,980.24
  4. Step 4: Simplify right side
    8,277.88x = 86,723,199.78
  5. Step 5: Solve for x
    x = 86,723,199.78/8,277.88
  6. Step 6: Final answer
    x = 10,476.50

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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.