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Finding the Fourth Proportional to 9,876.47, 14,804.30 and 6,755.63

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Solution

The fourth proportional to 9,876.47, 14,804.30 and 6,755.63 is: 10,126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.47 : 14,804.30 = 6,755.63 : x
  2. Step 2: Convert to fraction form
    9,876.47/14,804.30 = 6,755.63/x
  3. Step 3: Cross multiply
    9,876.47x = 14,804.30 × 6,755.63
  4. Step 4: Simplify right side
    9,876.47x = 100,012,343.46
  5. Step 5: Solve for x
    x = 100,012,343.46/9,876.47
  6. Step 6: Final answer
    x = 10,126.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.