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Finding the Fourth Proportional to 9,937.68, 13,720.01 and 6,583.36

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Solution

The fourth proportional to 9,937.68, 13,720.01 and 6,583.36 is: 9,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.68 : 13,720.01 = 6,583.36 : x
  2. Step 2: Convert to fraction form
    9,937.68/13,720.01 = 6,583.36/x
  3. Step 3: Cross multiply
    9,937.68x = 13,720.01 × 6,583.36
  4. Step 4: Simplify right side
    9,937.68x = 90,323,765.03
  5. Step 5: Solve for x
    x = 90,323,765.03/9,937.68
  6. Step 6: Final answer
    x = 9,089.02

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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.