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Finding the Fourth Proportional to 7,152.33, 9,869.81 and 4,168.65

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Solution

The fourth proportional to 7,152.33, 9,869.81 and 4,168.65 is: 5,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.33 : 9,869.81 = 4,168.65 : x
  2. Step 2: Convert to fraction form
    7,152.33/9,869.81 = 4,168.65/x
  3. Step 3: Cross multiply
    7,152.33x = 9,869.81 × 4,168.65
  4. Step 4: Simplify right side
    7,152.33x = 41,143,783.46
  5. Step 5: Solve for x
    x = 41,143,783.46/7,152.33
  6. Step 6: Final answer
    x = 5,752.50

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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.