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Finding the Fourth Proportional to 9,553.92, 14,332.32 and 2,980.62

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Solution

The fourth proportional to 9,553.92, 14,332.32 and 2,980.62 is: 4,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.92 : 14,332.32 = 2,980.62 : x
  2. Step 2: Convert to fraction form
    9,553.92/14,332.32 = 2,980.62/x
  3. Step 3: Cross multiply
    9,553.92x = 14,332.32 × 2,980.62
  4. Step 4: Simplify right side
    9,553.92x = 42,719,199.64
  5. Step 5: Solve for x
    x = 42,719,199.64/9,553.92
  6. Step 6: Final answer
    x = 4,471.38

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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.