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Finding the Fourth Proportional to 10,707.70, 14,776.14 and 5,927.82

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Solution

The fourth proportional to 10,707.70, 14,776.14 and 5,927.82 is: 8,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.70 : 14,776.14 = 5,927.82 : x
  2. Step 2: Convert to fraction form
    10,707.70/14,776.14 = 5,927.82/x
  3. Step 3: Cross multiply
    10,707.70x = 14,776.14 × 5,927.82
  4. Step 4: Simplify right side
    10,707.70x = 87,590,268.58
  5. Step 5: Solve for x
    x = 87,590,268.58/10,707.70
  6. Step 6: Final answer
    x = 8,180.12

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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.