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Finding the Fourth Proportional to 10,755.36, 14,848.47 and 6,981.93

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Solution

The fourth proportional to 10,755.36, 14,848.47 and 6,981.93 is: 9,639.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.36 : 14,848.47 = 6,981.93 : x
  2. Step 2: Convert to fraction form
    10,755.36/14,848.47 = 6,981.93/x
  3. Step 3: Cross multiply
    10,755.36x = 14,848.47 × 6,981.93
  4. Step 4: Simplify right side
    10,755.36x = 103,670,978.15
  5. Step 5: Solve for x
    x = 103,670,978.15/10,755.36
  6. Step 6: Final answer
    x = 9,639.01

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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.