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Finding the Fourth Proportional to 9,543.84, 13,169.76 and 5,564.44

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Solution

The fourth proportional to 9,543.84, 13,169.76 and 5,564.44 is: 7,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.84 : 13,169.76 = 5,564.44 : x
  2. Step 2: Convert to fraction form
    9,543.84/13,169.76 = 5,564.44/x
  3. Step 3: Cross multiply
    9,543.84x = 13,169.76 × 5,564.44
  4. Step 4: Simplify right side
    9,543.84x = 73,282,339.33
  5. Step 5: Solve for x
    x = 73,282,339.33/9,543.84
  6. Step 6: Final answer
    x = 7,678.50

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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.