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Finding the Fourth Proportional to 10,354.84, 14,290.19 and 5,878.51

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Solution

The fourth proportional to 10,354.84, 14,290.19 and 5,878.51 is: 8,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.84 : 14,290.19 = 5,878.51 : x
  2. Step 2: Convert to fraction form
    10,354.84/14,290.19 = 5,878.51/x
  3. Step 3: Cross multiply
    10,354.84x = 14,290.19 × 5,878.51
  4. Step 4: Simplify right side
    10,354.84x = 84,004,995.42
  5. Step 5: Solve for x
    x = 84,004,995.42/10,354.84
  6. Step 6: Final answer
    x = 8,112.63

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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.