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Finding the Fourth Proportional to 15,897.25, 23,835.34 and 7,578.55

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Solution

The fourth proportional to 15,897.25, 23,835.34 and 7,578.55 is: 11,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.25 : 23,835.34 = 7,578.55 : x
  2. Step 2: Convert to fraction form
    15,897.25/23,835.34 = 7,578.55/x
  3. Step 3: Cross multiply
    15,897.25x = 23,835.34 × 7,578.55
  4. Step 4: Simplify right side
    15,897.25x = 180,637,315.96
  5. Step 5: Solve for x
    x = 180,637,315.96/15,897.25
  6. Step 6: Final answer
    x = 11,362.80

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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.