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Finding the Fourth Proportional to 10,833.90, 14,957.73 and 8,849.22

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Solution

The fourth proportional to 10,833.90, 14,957.73 and 8,849.22 is: 12,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.90 : 14,957.73 = 8,849.22 : x
  2. Step 2: Convert to fraction form
    10,833.90/14,957.73 = 8,849.22/x
  3. Step 3: Cross multiply
    10,833.90x = 14,957.73 × 8,849.22
  4. Step 4: Simplify right side
    10,833.90x = 132,364,243.47
  5. Step 5: Solve for x
    x = 132,364,243.47/10,833.90
  6. Step 6: Final answer
    x = 12,217.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.