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Finding the Fourth Proportional to 10,761.93, 14,851.76 and 6,046.65

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Solution

The fourth proportional to 10,761.93, 14,851.76 and 6,046.65 is: 8,344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.93 : 14,851.76 = 6,046.65 : x
  2. Step 2: Convert to fraction form
    10,761.93/14,851.76 = 6,046.65/x
  3. Step 3: Cross multiply
    10,761.93x = 14,851.76 × 6,046.65
  4. Step 4: Simplify right side
    10,761.93x = 89,803,364.37
  5. Step 5: Solve for x
    x = 89,803,364.37/10,761.93
  6. Step 6: Final answer
    x = 8,344.54

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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.