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Finding the Fourth Proportional to 5,275.94, 7,915.04 and 1,578.47

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Solution

The fourth proportional to 5,275.94, 7,915.04 and 1,578.47 is: 2,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.94 : 7,915.04 = 1,578.47 : x
  2. Step 2: Convert to fraction form
    5,275.94/7,915.04 = 1,578.47/x
  3. Step 3: Cross multiply
    5,275.94x = 7,915.04 × 1,578.47
  4. Step 4: Simplify right side
    5,275.94x = 12,493,605.72
  5. Step 5: Solve for x
    x = 12,493,605.72/5,275.94
  6. Step 6: Final answer
    x = 2,368.04

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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.