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Finding the Fourth Proportional to 9,527.81, 13,154.81 and 5,948.21

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Solution

The fourth proportional to 9,527.81, 13,154.81 and 5,948.21 is: 8,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.81 : 13,154.81 = 5,948.21 : x
  2. Step 2: Convert to fraction form
    9,527.81/13,154.81 = 5,948.21/x
  3. Step 3: Cross multiply
    9,527.81x = 13,154.81 × 5,948.21
  4. Step 4: Simplify right side
    9,527.81x = 78,247,575.54
  5. Step 5: Solve for x
    x = 78,247,575.54/9,527.81
  6. Step 6: Final answer
    x = 8,212.55

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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.