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Finding the Fourth Proportional to 9,856.64, 14,785.04 and 6,948

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Solution

The fourth proportional to 9,856.64, 14,785.04 and 6,948 is: 10,422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.64 : 14,785.04 = 6,948 : x
  2. Step 2: Convert to fraction form
    9,856.64/14,785.04 = 6,948/x
  3. Step 3: Cross multiply
    9,856.64x = 14,785.04 × 6,948
  4. Step 4: Simplify right side
    9,856.64x = 102,726,457.92
  5. Step 5: Solve for x
    x = 102,726,457.92/9,856.64
  6. Step 6: Final answer
    x = 10,422.06

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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.