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Finding the Fourth Proportional to 10,859.36, 16,309.13 and 6,503.58

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Solution

The fourth proportional to 10,859.36, 16,309.13 and 6,503.58 is: 9,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.36 : 16,309.13 = 6,503.58 : x
  2. Step 2: Convert to fraction form
    10,859.36/16,309.13 = 6,503.58/x
  3. Step 3: Cross multiply
    10,859.36x = 16,309.13 × 6,503.58
  4. Step 4: Simplify right side
    10,859.36x = 106,067,699.17
  5. Step 5: Solve for x
    x = 106,067,699.17/10,859.36
  6. Step 6: Final answer
    x = 9,767.40

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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.