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Finding the Fourth Proportional to 10,436.10, 14,403.79 and 6,459

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Solution

The fourth proportional to 10,436.10, 14,403.79 and 6,459 is: 8,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.10 : 14,403.79 = 6,459 : x
  2. Step 2: Convert to fraction form
    10,436.10/14,403.79 = 6,459/x
  3. Step 3: Cross multiply
    10,436.10x = 14,403.79 × 6,459
  4. Step 4: Simplify right side
    10,436.10x = 93,034,079.61
  5. Step 5: Solve for x
    x = 93,034,079.61/10,436.10
  6. Step 6: Final answer
    x = 8,914.64

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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.