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Finding the Fourth Proportional to 9,287.92, 13,924.70 and 8,053.63

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Solution

The fourth proportional to 9,287.92, 13,924.70 and 8,053.63 is: 12,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.92 : 13,924.70 = 8,053.63 : x
  2. Step 2: Convert to fraction form
    9,287.92/13,924.70 = 8,053.63/x
  3. Step 3: Cross multiply
    9,287.92x = 13,924.70 × 8,053.63
  4. Step 4: Simplify right side
    9,287.92x = 112,144,325.46
  5. Step 5: Solve for x
    x = 112,144,325.46/9,287.92
  6. Step 6: Final answer
    x = 12,074.22

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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.