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Finding the Fourth Proportional to 7,689.65, 11,534.66 and 3,009.47

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Solution

The fourth proportional to 7,689.65, 11,534.66 and 3,009.47 is: 4,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.65 : 11,534.66 = 3,009.47 : x
  2. Step 2: Convert to fraction form
    7,689.65/11,534.66 = 3,009.47/x
  3. Step 3: Cross multiply
    7,689.65x = 11,534.66 × 3,009.47
  4. Step 4: Simplify right side
    7,689.65x = 34,713,140.51
  5. Step 5: Solve for x
    x = 34,713,140.51/7,689.65
  6. Step 6: Final answer
    x = 4,514.27

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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.