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Finding the Fourth Proportional to 10,793.64, 14,894.40 and 6,077

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Solution

The fourth proportional to 10,793.64, 14,894.40 and 6,077 is: 8,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.64 : 14,894.40 = 6,077 : x
  2. Step 2: Convert to fraction form
    10,793.64/14,894.40 = 6,077/x
  3. Step 3: Cross multiply
    10,793.64x = 14,894.40 × 6,077
  4. Step 4: Simplify right side
    10,793.64x = 90,513,268.80
  5. Step 5: Solve for x
    x = 90,513,268.80/10,793.64
  6. Step 6: Final answer
    x = 8,385.80

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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.