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Finding the Fourth Proportional to 10,486.74, 14,470.02 and 6,713.22

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Solution

The fourth proportional to 10,486.74, 14,470.02 and 6,713.22 is: 9,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.74 : 14,470.02 = 6,713.22 : x
  2. Step 2: Convert to fraction form
    10,486.74/14,470.02 = 6,713.22/x
  3. Step 3: Cross multiply
    10,486.74x = 14,470.02 × 6,713.22
  4. Step 4: Simplify right side
    10,486.74x = 97,140,427.66
  5. Step 5: Solve for x
    x = 97,140,427.66/10,486.74
  6. Step 6: Final answer
    x = 9,263.17

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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.