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Finding the Fourth Proportional to 9,648.72, 13,293 and 7,408.08

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Solution

The fourth proportional to 9,648.72, 13,293 and 7,408.08 is: 10,206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.72 : 13,293 = 7,408.08 : x
  2. Step 2: Convert to fraction form
    9,648.72/13,293 = 7,408.08/x
  3. Step 3: Cross multiply
    9,648.72x = 13,293 × 7,408.08
  4. Step 4: Simplify right side
    9,648.72x = 98,475,607.44
  5. Step 5: Solve for x
    x = 98,475,607.44/9,648.72
  6. Step 6: Final answer
    x = 10,206.08

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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.