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Finding the Fourth Proportional to 10,708.81, 14,784.86 and 6,882

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Solution

The fourth proportional to 10,708.81, 14,784.86 and 6,882 is: 9,501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.81 : 14,784.86 = 6,882 : x
  2. Step 2: Convert to fraction form
    10,708.81/14,784.86 = 6,882/x
  3. Step 3: Cross multiply
    10,708.81x = 14,784.86 × 6,882
  4. Step 4: Simplify right side
    10,708.81x = 101,749,397.92
  5. Step 5: Solve for x
    x = 101,749,397.92/10,708.81
  6. Step 6: Final answer
    x = 9,501.47

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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.