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Finding the Fourth Proportional to 6,569.33, 9,064.04 and 4,214.66

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Solution

The fourth proportional to 6,569.33, 9,064.04 and 4,214.66 is: 5,815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.33 : 9,064.04 = 4,214.66 : x
  2. Step 2: Convert to fraction form
    6,569.33/9,064.04 = 4,214.66/x
  3. Step 3: Cross multiply
    6,569.33x = 9,064.04 × 4,214.66
  4. Step 4: Simplify right side
    6,569.33x = 38,201,825.75
  5. Step 5: Solve for x
    x = 38,201,825.75/6,569.33
  6. Step 6: Final answer
    x = 5,815.18

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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.