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Finding the Fourth Proportional to 8,312.06, 12,468.11 and 8,102.93

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Solution

The fourth proportional to 8,312.06, 12,468.11 and 8,102.93 is: 12,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.06 : 12,468.11 = 8,102.93 : x
  2. Step 2: Convert to fraction form
    8,312.06/12,468.11 = 8,102.93/x
  3. Step 3: Cross multiply
    8,312.06x = 12,468.11 × 8,102.93
  4. Step 4: Simplify right side
    8,312.06x = 101,028,119.71
  5. Step 5: Solve for x
    x = 101,028,119.71/8,312.06
  6. Step 6: Final answer
    x = 12,154.40

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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.