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Finding the Fourth Proportional to 11,009.16, 16,502.87 and 7,049.14

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Solution

The fourth proportional to 11,009.16, 16,502.87 and 7,049.14 is: 10,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.16 : 16,502.87 = 7,049.14 : x
  2. Step 2: Convert to fraction form
    11,009.16/16,502.87 = 7,049.14/x
  3. Step 3: Cross multiply
    11,009.16x = 16,502.87 × 7,049.14
  4. Step 4: Simplify right side
    11,009.16x = 116,330,964.53
  5. Step 5: Solve for x
    x = 116,330,964.53/11,009.16
  6. Step 6: Final answer
    x = 10,566.74

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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.