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Finding the Fourth Proportional to 15,897.84, 23,850.36 and 8,498.40

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Solution

The fourth proportional to 15,897.84, 23,850.36 and 8,498.40 is: 12,749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.84 : 23,850.36 = 8,498.40 : x
  2. Step 2: Convert to fraction form
    15,897.84/23,850.36 = 8,498.40/x
  3. Step 3: Cross multiply
    15,897.84x = 23,850.36 × 8,498.40
  4. Step 4: Simplify right side
    15,897.84x = 202,689,899.42
  5. Step 5: Solve for x
    x = 202,689,899.42/15,897.84
  6. Step 6: Final answer
    x = 12,749.52

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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.