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Finding the Fourth Proportional to 10,713.87, 14,784.98 and 5,998.32

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Solution

The fourth proportional to 10,713.87, 14,784.98 and 5,998.32 is: 8,277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.87 : 14,784.98 = 5,998.32 : x
  2. Step 2: Convert to fraction form
    10,713.87/14,784.98 = 5,998.32/x
  3. Step 3: Cross multiply
    10,713.87x = 14,784.98 × 5,998.32
  4. Step 4: Simplify right side
    10,713.87x = 88,685,026.24
  5. Step 5: Solve for x
    x = 88,685,026.24/10,713.87
  6. Step 6: Final answer
    x = 8,277.59

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Double scale
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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.