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Finding the Fourth Proportional to 10,512.35, 14,506.49 and 6,533.38

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Solution

The fourth proportional to 10,512.35, 14,506.49 and 6,533.38 is: 9,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.35 : 14,506.49 = 6,533.38 : x
  2. Step 2: Convert to fraction form
    10,512.35/14,506.49 = 6,533.38/x
  3. Step 3: Cross multiply
    10,512.35x = 14,506.49 × 6,533.38
  4. Step 4: Simplify right side
    10,512.35x = 94,776,339.10
  5. Step 5: Solve for x
    x = 94,776,339.10/10,512.35
  6. Step 6: Final answer
    x = 9,015.71

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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.