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Finding the Fourth Proportional to 10,784.68, 14,881.26 and 6,068.68

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Solution

The fourth proportional to 10,784.68, 14,881.26 and 6,068.68 is: 8,373.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.68 : 14,881.26 = 6,068.68 : x
  2. Step 2: Convert to fraction form
    10,784.68/14,881.26 = 6,068.68/x
  3. Step 3: Cross multiply
    10,784.68x = 14,881.26 × 6,068.68
  4. Step 4: Simplify right side
    10,784.68x = 90,309,604.94
  5. Step 5: Solve for x
    x = 90,309,604.94/10,784.68
  6. Step 6: Final answer
    x = 8,373.88

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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.