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Finding the Fourth Proportional to 25,713, 35,486.10 and 16,278.12

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Solution

The fourth proportional to 25,713, 35,486.10 and 16,278.12 is: 22,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713 : 35,486.10 = 16,278.12 : x
  2. Step 2: Convert to fraction form
    25,713/35,486.10 = 16,278.12/x
  3. Step 3: Cross multiply
    25,713x = 35,486.10 × 16,278.12
  4. Step 4: Simplify right side
    25,713x = 577,646,994.13
  5. Step 5: Solve for x
    x = 577,646,994.13/25,713
  6. Step 6: Final answer
    x = 22,465.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.