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Finding the Fourth Proportional to 9,678, 13,355.64 and 5,486.52

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Solution

The fourth proportional to 9,678, 13,355.64 and 5,486.52 is: 7,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678 : 13,355.64 = 5,486.52 : x
  2. Step 2: Convert to fraction form
    9,678/13,355.64 = 5,486.52/x
  3. Step 3: Cross multiply
    9,678x = 13,355.64 × 5,486.52
  4. Step 4: Simplify right side
    9,678x = 73,275,985.97
  5. Step 5: Solve for x
    x = 73,275,985.97/9,678
  6. Step 6: Final answer
    x = 7,571.40

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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.