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Finding the Fourth Proportional to 6,527.62, 8,952.64 and 6,259.78

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Solution

The fourth proportional to 6,527.62, 8,952.64 and 6,259.78 is: 8,585.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.62 : 8,952.64 = 6,259.78 : x
  2. Step 2: Convert to fraction form
    6,527.62/8,952.64 = 6,259.78/x
  3. Step 3: Cross multiply
    6,527.62x = 8,952.64 × 6,259.78
  4. Step 4: Simplify right side
    6,527.62x = 56,041,556.82
  5. Step 5: Solve for x
    x = 56,041,556.82/6,527.62
  6. Step 6: Final answer
    x = 8,585.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.