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Finding the Fourth Proportional to 10,616.92, 14,647.44 and 6,368.08

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Solution

The fourth proportional to 10,616.92, 14,647.44 and 6,368.08 is: 8,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.92 : 14,647.44 = 6,368.08 : x
  2. Step 2: Convert to fraction form
    10,616.92/14,647.44 = 6,368.08/x
  3. Step 3: Cross multiply
    10,616.92x = 14,647.44 × 6,368.08
  4. Step 4: Simplify right side
    10,616.92x = 93,276,069.72
  5. Step 5: Solve for x
    x = 93,276,069.72/10,616.92
  6. Step 6: Final answer
    x = 8,785.61

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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.