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Finding the Fourth Proportional to 4,575.79, 6,823.72 and 4,071.82

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Solution

The fourth proportional to 4,575.79, 6,823.72 and 4,071.82 is: 6,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.79 : 6,823.72 = 4,071.82 : x
  2. Step 2: Convert to fraction form
    4,575.79/6,823.72 = 4,071.82/x
  3. Step 3: Cross multiply
    4,575.79x = 6,823.72 × 4,071.82
  4. Step 4: Simplify right side
    4,575.79x = 27,784,948.94
  5. Step 5: Solve for x
    x = 27,784,948.94/4,575.79
  6. Step 6: Final answer
    x = 6,072.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.