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Finding the Fourth Proportional to 6,924.42, 9,539.03 and 5,507.68

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Solution

The fourth proportional to 6,924.42, 9,539.03 and 5,507.68 is: 7,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.42 : 9,539.03 = 5,507.68 : x
  2. Step 2: Convert to fraction form
    6,924.42/9,539.03 = 5,507.68/x
  3. Step 3: Cross multiply
    6,924.42x = 9,539.03 × 5,507.68
  4. Step 4: Simplify right side
    6,924.42x = 52,537,924.75
  5. Step 5: Solve for x
    x = 52,537,924.75/6,924.42
  6. Step 6: Final answer
    x = 7,587.34

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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.