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Finding the Fourth Proportional to 10,703.61, 14,769.71 and 5,922.92

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Solution

The fourth proportional to 10,703.61, 14,769.71 and 5,922.92 is: 8,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.61 : 14,769.71 = 5,922.92 : x
  2. Step 2: Convert to fraction form
    10,703.61/14,769.71 = 5,922.92/x
  3. Step 3: Cross multiply
    10,703.61x = 14,769.71 × 5,922.92
  4. Step 4: Simplify right side
    10,703.61x = 87,479,810.75
  5. Step 5: Solve for x
    x = 87,479,810.75/10,703.61
  6. Step 6: Final answer
    x = 8,172.93

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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.