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Finding the Fourth Proportional to 7,005.69, 10,507.08 and 2,074.17

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Solution

The fourth proportional to 7,005.69, 10,507.08 and 2,074.17 is: 3,110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.69 : 10,507.08 = 2,074.17 : x
  2. Step 2: Convert to fraction form
    7,005.69/10,507.08 = 2,074.17/x
  3. Step 3: Cross multiply
    7,005.69x = 10,507.08 × 2,074.17
  4. Step 4: Simplify right side
    7,005.69x = 21,793,470.12
  5. Step 5: Solve for x
    x = 21,793,470.12/7,005.69
  6. Step 6: Final answer
    x = 3,110.82

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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.