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Finding the Fourth Proportional to 15,757.63, 23,643.62 and 5,897.68

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Solution

The fourth proportional to 15,757.63, 23,643.62 and 5,897.68 is: 8,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.63 : 23,643.62 = 5,897.68 : x
  2. Step 2: Convert to fraction form
    15,757.63/23,643.62 = 5,897.68/x
  3. Step 3: Cross multiply
    15,757.63x = 23,643.62 × 5,897.68
  4. Step 4: Simplify right side
    15,757.63x = 139,442,471.49
  5. Step 5: Solve for x
    x = 139,442,471.49/15,757.63
  6. Step 6: Final answer
    x = 8,849.20

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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.