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Finding the Fourth Proportional to 6,595.53, 9,894.92 and 4,659.90

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Solution

The fourth proportional to 6,595.53, 9,894.92 and 4,659.90 is: 6,990.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.53 : 9,894.92 = 4,659.90 : x
  2. Step 2: Convert to fraction form
    6,595.53/9,894.92 = 4,659.90/x
  3. Step 3: Cross multiply
    6,595.53x = 9,894.92 × 4,659.90
  4. Step 4: Simplify right side
    6,595.53x = 46,109,314.41
  5. Step 5: Solve for x
    x = 46,109,314.41/6,595.53
  6. Step 6: Final answer
    x = 6,990.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.