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Finding the Fourth Proportional to 7,656.91, 10,565.93 and 4,300.22

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Solution

The fourth proportional to 7,656.91, 10,565.93 and 4,300.22 is: 5,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.91 : 10,565.93 = 4,300.22 : x
  2. Step 2: Convert to fraction form
    7,656.91/10,565.93 = 4,300.22/x
  3. Step 3: Cross multiply
    7,656.91x = 10,565.93 × 4,300.22
  4. Step 4: Simplify right side
    7,656.91x = 45,435,860.67
  5. Step 5: Solve for x
    x = 45,435,860.67/7,656.91
  6. Step 6: Final answer
    x = 5,933.97

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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.