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Finding the Fourth Proportional to 8,006.83, 12,070.30 and 7,471.62

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Solution

The fourth proportional to 8,006.83, 12,070.30 and 7,471.62 is: 11,263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.83 : 12,070.30 = 7,471.62 : x
  2. Step 2: Convert to fraction form
    8,006.83/12,070.30 = 7,471.62/x
  3. Step 3: Cross multiply
    8,006.83x = 12,070.30 × 7,471.62
  4. Step 4: Simplify right side
    8,006.83x = 90,184,657.53
  5. Step 5: Solve for x
    x = 90,184,657.53/8,006.83
  6. Step 6: Final answer
    x = 11,263.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.