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Finding the Fourth Proportional to 7,565.65, 10,441.10 and 4,208.46

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Solution

The fourth proportional to 7,565.65, 10,441.10 and 4,208.46 is: 5,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.65 : 10,441.10 = 4,208.46 : x
  2. Step 2: Convert to fraction form
    7,565.65/10,441.10 = 4,208.46/x
  3. Step 3: Cross multiply
    7,565.65x = 10,441.10 × 4,208.46
  4. Step 4: Simplify right side
    7,565.65x = 43,940,923.07
  5. Step 5: Solve for x
    x = 43,940,923.07/7,565.65
  6. Step 6: Final answer
    x = 5,807.95

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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.