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Finding the Fourth Proportional to 9,863.96, 14,808.90 and 6,943.64

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Solution

The fourth proportional to 9,863.96, 14,808.90 and 6,943.64 is: 10,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.96 : 14,808.90 = 6,943.64 : x
  2. Step 2: Convert to fraction form
    9,863.96/14,808.90 = 6,943.64/x
  3. Step 3: Cross multiply
    9,863.96x = 14,808.90 × 6,943.64
  4. Step 4: Simplify right side
    9,863.96x = 102,827,670.40
  5. Step 5: Solve for x
    x = 102,827,670.40/9,863.96
  6. Step 6: Final answer
    x = 10,424.58

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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.