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Finding the Fourth Proportional to 12,407.76, 17,124.84 and 8,426.16

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Solution

The fourth proportional to 12,407.76, 17,124.84 and 8,426.16 is: 11,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.76 : 17,124.84 = 8,426.16 : x
  2. Step 2: Convert to fraction form
    12,407.76/17,124.84 = 8,426.16/x
  3. Step 3: Cross multiply
    12,407.76x = 17,124.84 × 8,426.16
  4. Step 4: Simplify right side
    12,407.76x = 144,296,641.81
  5. Step 5: Solve for x
    x = 144,296,641.81/12,407.76
  6. Step 6: Final answer
    x = 11,629.55

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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.