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Finding the Fourth Proportional to 10,710.07, 14,769.07 and 8,255.85

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Solution

The fourth proportional to 10,710.07, 14,769.07 and 8,255.85 is: 11,384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.07 : 14,769.07 = 8,255.85 : x
  2. Step 2: Convert to fraction form
    10,710.07/14,769.07 = 8,255.85/x
  3. Step 3: Cross multiply
    10,710.07x = 14,769.07 × 8,255.85
  4. Step 4: Simplify right side
    10,710.07x = 121,931,150.54
  5. Step 5: Solve for x
    x = 121,931,150.54/10,710.07
  6. Step 6: Final answer
    x = 11,384.72

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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.