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Finding the Fourth Proportional to 10,354.99, 14,290.06 and 5,878.87

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Solution

The fourth proportional to 10,354.99, 14,290.06 and 5,878.87 is: 8,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.99 : 14,290.06 = 5,878.87 : x
  2. Step 2: Convert to fraction form
    10,354.99/14,290.06 = 5,878.87/x
  3. Step 3: Cross multiply
    10,354.99x = 14,290.06 × 5,878.87
  4. Step 4: Simplify right side
    10,354.99x = 84,009,405.03
  5. Step 5: Solve for x
    x = 84,009,405.03/10,354.99
  6. Step 6: Final answer
    x = 8,112.94

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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.