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Finding the Fourth Proportional to 25,810.55, 38,712.18 and 8,278.10

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Solution

The fourth proportional to 25,810.55, 38,712.18 and 8,278.10 is: 12,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,810.55 : 38,712.18 = 8,278.10 : x
  2. Step 2: Convert to fraction form
    25,810.55/38,712.18 = 8,278.10/x
  3. Step 3: Cross multiply
    25,810.55x = 38,712.18 × 8,278.10
  4. Step 4: Simplify right side
    25,810.55x = 320,463,233.35
  5. Step 5: Solve for x
    x = 320,463,233.35/25,810.55
  6. Step 6: Final answer
    x = 12,415.98

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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.