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Finding the Fourth Proportional to 7,656.95, 10,565.81 and 4,300.14

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Solution

The fourth proportional to 7,656.95, 10,565.81 and 4,300.14 is: 5,933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.95 : 10,565.81 = 4,300.14 : x
  2. Step 2: Convert to fraction form
    7,656.95/10,565.81 = 4,300.14/x
  3. Step 3: Cross multiply
    7,656.95x = 10,565.81 × 4,300.14
  4. Step 4: Simplify right side
    7,656.95x = 45,434,387.88
  5. Step 5: Solve for x
    x = 45,434,387.88/7,656.95
  6. Step 6: Final answer
    x = 5,933.74

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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.