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Finding the Fourth Proportional to 7,009.92, 9,673.56 and 3,823.16

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Solution

The fourth proportional to 7,009.92, 9,673.56 and 3,823.16 is: 5,275.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.92 : 9,673.56 = 3,823.16 : x
  2. Step 2: Convert to fraction form
    7,009.92/9,673.56 = 3,823.16/x
  3. Step 3: Cross multiply
    7,009.92x = 9,673.56 × 3,823.16
  4. Step 4: Simplify right side
    7,009.92x = 36,983,567.65
  5. Step 5: Solve for x
    x = 36,983,567.65/7,009.92
  6. Step 6: Final answer
    x = 5,275.89

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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.