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Finding the Fourth Proportional to 10,528.40, 14,529.48 and 6,338

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Solution

The fourth proportional to 10,528.40, 14,529.48 and 6,338 is: 8,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.40 : 14,529.48 = 6,338 : x
  2. Step 2: Convert to fraction form
    10,528.40/14,529.48 = 6,338/x
  3. Step 3: Cross multiply
    10,528.40x = 14,529.48 × 6,338
  4. Step 4: Simplify right side
    10,528.40x = 92,087,844.24
  5. Step 5: Solve for x
    x = 92,087,844.24/10,528.40
  6. Step 6: Final answer
    x = 8,746.61

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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.