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Finding the Fourth Proportional to 12,280.79, 16,947.76 and 7,246.24

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Solution

The fourth proportional to 12,280.79, 16,947.76 and 7,246.24 is: 9,999.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.79 : 16,947.76 = 7,246.24 : x
  2. Step 2: Convert to fraction form
    12,280.79/16,947.76 = 7,246.24/x
  3. Step 3: Cross multiply
    12,280.79x = 16,947.76 × 7,246.24
  4. Step 4: Simplify right side
    12,280.79x = 122,807,536.42
  5. Step 5: Solve for x
    x = 122,807,536.42/12,280.79
  6. Step 6: Final answer
    x = 9,999.97

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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.