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Finding the Fourth Proportional to 15,841.74, 23,762.54 and 4,748.44

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Solution

The fourth proportional to 15,841.74, 23,762.54 and 4,748.44 is: 7,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.74 : 23,762.54 = 4,748.44 : x
  2. Step 2: Convert to fraction form
    15,841.74/23,762.54 = 4,748.44/x
  3. Step 3: Cross multiply
    15,841.74x = 23,762.54 × 4,748.44
  4. Step 4: Simplify right side
    15,841.74x = 112,834,995.44
  5. Step 5: Solve for x
    x = 112,834,995.44/15,841.74
  6. Step 6: Final answer
    x = 7,122.64

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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.