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Finding the Fourth Proportional to 13,465.65, 18,582.42 and 7,876.65

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Solution

The fourth proportional to 13,465.65, 18,582.42 and 7,876.65 is: 10,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.65 : 18,582.42 = 7,876.65 : x
  2. Step 2: Convert to fraction form
    13,465.65/18,582.42 = 7,876.65/x
  3. Step 3: Cross multiply
    13,465.65x = 18,582.42 × 7,876.65
  4. Step 4: Simplify right side
    13,465.65x = 146,367,218.49
  5. Step 5: Solve for x
    x = 146,367,218.49/13,465.65
  6. Step 6: Final answer
    x = 10,869.67

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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.