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Finding the Fourth Proportional to 10,750.34, 14,831.89 and 6,502.70

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Solution

The fourth proportional to 10,750.34, 14,831.89 and 6,502.70 is: 8,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.34 : 14,831.89 = 6,502.70 : x
  2. Step 2: Convert to fraction form
    10,750.34/14,831.89 = 6,502.70/x
  3. Step 3: Cross multiply
    10,750.34x = 14,831.89 × 6,502.70
  4. Step 4: Simplify right side
    10,750.34x = 96,447,331.10
  5. Step 5: Solve for x
    x = 96,447,331.10/10,750.34
  6. Step 6: Final answer
    x = 8,971.56

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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.