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Finding the Fourth Proportional to 10,789.91, 14,891.50 and 6,075.11

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Solution

The fourth proportional to 10,789.91, 14,891.50 and 6,075.11 is: 8,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789.91 : 14,891.50 = 6,075.11 : x
  2. Step 2: Convert to fraction form
    10,789.91/14,891.50 = 6,075.11/x
  3. Step 3: Cross multiply
    10,789.91x = 14,891.50 × 6,075.11
  4. Step 4: Simplify right side
    10,789.91x = 90,467,470.19
  5. Step 5: Solve for x
    x = 90,467,470.19/10,789.91
  6. Step 6: Final answer
    x = 8,384.45

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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.