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Finding the Fourth Proportional to 10,793.84, 14,895.45 and 6,078.20

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Solution

The fourth proportional to 10,793.84, 14,895.45 and 6,078.20 is: 8,387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.84 : 14,895.45 = 6,078.20 : x
  2. Step 2: Convert to fraction form
    10,793.84/14,895.45 = 6,078.20/x
  3. Step 3: Cross multiply
    10,793.84x = 14,895.45 × 6,078.20
  4. Step 4: Simplify right side
    10,793.84x = 90,537,449.71
  5. Step 5: Solve for x
    x = 90,537,449.71/10,793.84
  6. Step 6: Final answer
    x = 8,387.89

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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.