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Finding the Fourth Proportional to 10,701.88, 14,768.65 and 5,986.16

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Solution

The fourth proportional to 10,701.88, 14,768.65 and 5,986.16 is: 8,260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.88 : 14,768.65 = 5,986.16 : x
  2. Step 2: Convert to fraction form
    10,701.88/14,768.65 = 5,986.16/x
  3. Step 3: Cross multiply
    10,701.88x = 14,768.65 × 5,986.16
  4. Step 4: Simplify right side
    10,701.88x = 88,407,501.88
  5. Step 5: Solve for x
    x = 88,407,501.88/10,701.88
  6. Step 6: Final answer
    x = 8,260.93

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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.