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Finding the Fourth Proportional to 10,656.40, 14,701.38 and 6,348.64

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Solution

The fourth proportional to 10,656.40, 14,701.38 and 6,348.64 is: 8,758.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.40 : 14,701.38 = 6,348.64 : x
  2. Step 2: Convert to fraction form
    10,656.40/14,701.38 = 6,348.64/x
  3. Step 3: Cross multiply
    10,656.40x = 14,701.38 × 6,348.64
  4. Step 4: Simplify right side
    10,656.40x = 93,333,769.12
  5. Step 5: Solve for x
    x = 93,333,769.12/10,656.40
  6. Step 6: Final answer
    x = 8,758.47

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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.