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Finding the Fourth Proportional to 9,937.79, 13,699.71 and 6,944.34

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Solution

The fourth proportional to 9,937.79, 13,699.71 and 6,944.34 is: 9,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.79 : 13,699.71 = 6,944.34 : x
  2. Step 2: Convert to fraction form
    9,937.79/13,699.71 = 6,944.34/x
  3. Step 3: Cross multiply
    9,937.79x = 13,699.71 × 6,944.34
  4. Step 4: Simplify right side
    9,937.79x = 95,135,444.14
  5. Step 5: Solve for x
    x = 95,135,444.14/9,937.79
  6. Step 6: Final answer
    x = 9,573.10

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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.