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Finding the Fourth Proportional to 9,581, 13,221.54 and 5,332.08

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Solution

The fourth proportional to 9,581, 13,221.54 and 5,332.08 is: 7,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581 : 13,221.54 = 5,332.08 : x
  2. Step 2: Convert to fraction form
    9,581/13,221.54 = 5,332.08/x
  3. Step 3: Cross multiply
    9,581x = 13,221.54 × 5,332.08
  4. Step 4: Simplify right side
    9,581x = 70,498,309.00
  5. Step 5: Solve for x
    x = 70,498,309.00/9,581
  6. Step 6: Final answer
    x = 7,358.14

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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.