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Finding the Fourth Proportional to 8,426.76, 12,642.12 and 2,583.24

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Solution

The fourth proportional to 8,426.76, 12,642.12 and 2,583.24 is: 3,875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.76 : 12,642.12 = 2,583.24 : x
  2. Step 2: Convert to fraction form
    8,426.76/12,642.12 = 2,583.24/x
  3. Step 3: Cross multiply
    8,426.76x = 12,642.12 × 2,583.24
  4. Step 4: Simplify right side
    8,426.76x = 32,657,630.07
  5. Step 5: Solve for x
    x = 32,657,630.07/8,426.76
  6. Step 6: Final answer
    x = 3,875.47

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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.