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Finding the Fourth Proportional to 10,642.74, 14,685.93 and 5,927.46

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Solution

The fourth proportional to 10,642.74, 14,685.93 and 5,927.46 is: 8,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.74 : 14,685.93 = 5,927.46 : x
  2. Step 2: Convert to fraction form
    10,642.74/14,685.93 = 5,927.46/x
  3. Step 3: Cross multiply
    10,642.74x = 14,685.93 × 5,927.46
  4. Step 4: Simplify right side
    10,642.74x = 87,050,262.64
  5. Step 5: Solve for x
    x = 87,050,262.64/10,642.74
  6. Step 6: Final answer
    x = 8,179.31

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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.