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Finding the Fourth Proportional to 10,527.52, 14,527.64 and 5,811.76

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Solution

The fourth proportional to 10,527.52, 14,527.64 and 5,811.76 is: 8,020.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.52 : 14,527.64 = 5,811.76 : x
  2. Step 2: Convert to fraction form
    10,527.52/14,527.64 = 5,811.76/x
  3. Step 3: Cross multiply
    10,527.52x = 14,527.64 × 5,811.76
  4. Step 4: Simplify right side
    10,527.52x = 84,431,157.05
  5. Step 5: Solve for x
    x = 84,431,157.05/10,527.52
  6. Step 6: Final answer
    x = 8,020.04

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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.