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Finding the Fourth Proportional to 4,661.64, 6,992.46 and 4,376.52

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Solution

The fourth proportional to 4,661.64, 6,992.46 and 4,376.52 is: 6,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.64 : 6,992.46 = 4,376.52 : x
  2. Step 2: Convert to fraction form
    4,661.64/6,992.46 = 4,376.52/x
  3. Step 3: Cross multiply
    4,661.64x = 6,992.46 × 4,376.52
  4. Step 4: Simplify right side
    4,661.64x = 30,602,641.04
  5. Step 5: Solve for x
    x = 30,602,641.04/4,661.64
  6. Step 6: Final answer
    x = 6,564.78

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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.