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Finding the Fourth Proportional to 10,527.67, 14,527.65 and 5,811.04

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Solution

The fourth proportional to 10,527.67, 14,527.65 and 5,811.04 is: 8,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.67 : 14,527.65 = 5,811.04 : x
  2. Step 2: Convert to fraction form
    10,527.67/14,527.65 = 5,811.04/x
  3. Step 3: Cross multiply
    10,527.67x = 14,527.65 × 5,811.04
  4. Step 4: Simplify right side
    10,527.67x = 84,420,755.26
  5. Step 5: Solve for x
    x = 84,420,755.26/10,527.67
  6. Step 6: Final answer
    x = 8,018.94

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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.