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Finding the Fourth Proportional to 10,047.86, 13,866.61 and 6,905.46

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Solution

The fourth proportional to 10,047.86, 13,866.61 and 6,905.46 is: 9,529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.86 : 13,866.61 = 6,905.46 : x
  2. Step 2: Convert to fraction form
    10,047.86/13,866.61 = 6,905.46/x
  3. Step 3: Cross multiply
    10,047.86x = 13,866.61 × 6,905.46
  4. Step 4: Simplify right side
    10,047.86x = 95,755,320.69
  5. Step 5: Solve for x
    x = 95,755,320.69/10,047.86
  6. Step 6: Final answer
    x = 9,529.92

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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.