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Finding the Fourth Proportional to 7,164.62, 9,889.24 and 4,332.00

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Solution

The fourth proportional to 7,164.62, 9,889.24 and 4,332.00 is: 5,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.62 : 9,889.24 = 4,332.00 : x
  2. Step 2: Convert to fraction form
    7,164.62/9,889.24 = 4,332.00/x
  3. Step 3: Cross multiply
    7,164.62x = 9,889.24 × 4,332.00
  4. Step 4: Simplify right side
    7,164.62x = 42,840,166.43
  5. Step 5: Solve for x
    x = 42,840,166.43/7,164.62
  6. Step 6: Final answer
    x = 5,979.41

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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.