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Finding the Fourth Proportional to 6,404.52, 9,607.32 and 4,684.08

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Solution

The fourth proportional to 6,404.52, 9,607.32 and 4,684.08 is: 7,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.52 : 9,607.32 = 4,684.08 : x
  2. Step 2: Convert to fraction form
    6,404.52/9,607.32 = 4,684.08/x
  3. Step 3: Cross multiply
    6,404.52x = 9,607.32 × 4,684.08
  4. Step 4: Simplify right side
    6,404.52x = 45,001,455.47
  5. Step 5: Solve for x
    x = 45,001,455.47/6,404.52
  6. Step 6: Final answer
    x = 7,026.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.