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Finding the Fourth Proportional to 9,527.54, 13,148.12 and 5,494.29

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Solution

The fourth proportional to 9,527.54, 13,148.12 and 5,494.29 is: 7,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.54 : 13,148.12 = 5,494.29 : x
  2. Step 2: Convert to fraction form
    9,527.54/13,148.12 = 5,494.29/x
  3. Step 3: Cross multiply
    9,527.54x = 13,148.12 × 5,494.29
  4. Step 4: Simplify right side
    9,527.54x = 72,239,548.67
  5. Step 5: Solve for x
    x = 72,239,548.67/9,527.54
  6. Step 6: Final answer
    x = 7,582.19

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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.