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Finding the Fourth Proportional to 10,643.34, 14,687.64 and 5,927.70

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Solution

The fourth proportional to 10,643.34, 14,687.64 and 5,927.70 is: 8,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.34 : 14,687.64 = 5,927.70 : x
  2. Step 2: Convert to fraction form
    10,643.34/14,687.64 = 5,927.70/x
  3. Step 3: Cross multiply
    10,643.34x = 14,687.64 × 5,927.70
  4. Step 4: Simplify right side
    10,643.34x = 87,063,923.63
  5. Step 5: Solve for x
    x = 87,063,923.63/10,643.34
  6. Step 6: Final answer
    x = 8,180.13

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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.