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Finding the Fourth Proportional to 11,598.60, 16,007.72 and 7,631.22

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Solution

The fourth proportional to 11,598.60, 16,007.72 and 7,631.22 is: 10,532.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.60 : 16,007.72 = 7,631.22 : x
  2. Step 2: Convert to fraction form
    11,598.60/16,007.72 = 7,631.22/x
  3. Step 3: Cross multiply
    11,598.60x = 16,007.72 × 7,631.22
  4. Step 4: Simplify right side
    11,598.60x = 122,158,394.86
  5. Step 5: Solve for x
    x = 122,158,394.86/11,598.60
  6. Step 6: Final answer
    x = 10,532.17

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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.