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Finding the Fourth Proportional to 10,841.85, 16,254.92 and 7,323.06

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Solution

The fourth proportional to 10,841.85, 16,254.92 and 7,323.06 is: 10,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.85 : 16,254.92 = 7,323.06 : x
  2. Step 2: Convert to fraction form
    10,841.85/16,254.92 = 7,323.06/x
  3. Step 3: Cross multiply
    10,841.85x = 16,254.92 × 7,323.06
  4. Step 4: Simplify right side
    10,841.85x = 119,035,754.46
  5. Step 5: Solve for x
    x = 119,035,754.46/10,841.85
  6. Step 6: Final answer
    x = 10,979.28

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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.