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Finding the Fourth Proportional to 9,568.75, 13,206.12 and 5,377

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Solution

The fourth proportional to 9,568.75, 13,206.12 and 5,377 is: 7,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.75 : 13,206.12 = 5,377 : x
  2. Step 2: Convert to fraction form
    9,568.75/13,206.12 = 5,377/x
  3. Step 3: Cross multiply
    9,568.75x = 13,206.12 × 5,377
  4. Step 4: Simplify right side
    9,568.75x = 71,009,280.36
  5. Step 5: Solve for x
    x = 71,009,280.36/9,568.75
  6. Step 6: Final answer
    x = 7,420.96

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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.