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Finding the Fourth Proportional to 7,758.56, 10,707.62 and 4,572.86

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Solution

The fourth proportional to 7,758.56, 10,707.62 and 4,572.86 is: 6,311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.56 : 10,707.62 = 4,572.86 : x
  2. Step 2: Convert to fraction form
    7,758.56/10,707.62 = 4,572.86/x
  3. Step 3: Cross multiply
    7,758.56x = 10,707.62 × 4,572.86
  4. Step 4: Simplify right side
    7,758.56x = 48,964,447.19
  5. Step 5: Solve for x
    x = 48,964,447.19/7,758.56
  6. Step 6: Final answer
    x = 6,311.02

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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.