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Finding the Fourth Proportional to 6,689.85, 10,036.17 and 2,009.67

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Solution

The fourth proportional to 6,689.85, 10,036.17 and 2,009.67 is: 3,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.85 : 10,036.17 = 2,009.67 : x
  2. Step 2: Convert to fraction form
    6,689.85/10,036.17 = 2,009.67/x
  3. Step 3: Cross multiply
    6,689.85x = 10,036.17 × 2,009.67
  4. Step 4: Simplify right side
    6,689.85x = 20,169,389.76
  5. Step 5: Solve for x
    x = 20,169,389.76/6,689.85
  6. Step 6: Final answer
    x = 3,014.92

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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.