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Finding the Fourth Proportional to 9,242.77, 12,755.06 and 5,051.11

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Solution

The fourth proportional to 9,242.77, 12,755.06 and 5,051.11 is: 6,970.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.77 : 12,755.06 = 5,051.11 : x
  2. Step 2: Convert to fraction form
    9,242.77/12,755.06 = 5,051.11/x
  3. Step 3: Cross multiply
    9,242.77x = 12,755.06 × 5,051.11
  4. Step 4: Simplify right side
    9,242.77x = 64,427,211.12
  5. Step 5: Solve for x
    x = 64,427,211.12/9,242.77
  6. Step 6: Final answer
    x = 6,970.55

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1.5x scale

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.