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Finding the Fourth Proportional to 5,476.55, 8,214.71 and 1,527.71

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Solution

The fourth proportional to 5,476.55, 8,214.71 and 1,527.71 is: 2,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.55 : 8,214.71 = 1,527.71 : x
  2. Step 2: Convert to fraction form
    5,476.55/8,214.71 = 1,527.71/x
  3. Step 3: Cross multiply
    5,476.55x = 8,214.71 × 1,527.71
  4. Step 4: Simplify right side
    5,476.55x = 12,549,653.54
  5. Step 5: Solve for x
    x = 12,549,653.54/5,476.55
  6. Step 6: Final answer
    x = 2,291.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.