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Finding the Fourth Proportional to 7,699.96, 10,617.06 and 6,577.48

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Solution

The fourth proportional to 7,699.96, 10,617.06 and 6,577.48 is: 9,069.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.96 : 10,617.06 = 6,577.48 : x
  2. Step 2: Convert to fraction form
    7,699.96/10,617.06 = 6,577.48/x
  3. Step 3: Cross multiply
    7,699.96x = 10,617.06 × 6,577.48
  4. Step 4: Simplify right side
    7,699.96x = 69,833,499.81
  5. Step 5: Solve for x
    x = 69,833,499.81/7,699.96
  6. Step 6: Final answer
    x = 9,069.33

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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.