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Finding the Fourth Proportional to 9,914.20, 13,667.08 and 7,552.24

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Solution

The fourth proportional to 9,914.20, 13,667.08 and 7,552.24 is: 10,411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.20 : 13,667.08 = 7,552.24 : x
  2. Step 2: Convert to fraction form
    9,914.20/13,667.08 = 7,552.24/x
  3. Step 3: Cross multiply
    9,914.20x = 13,667.08 × 7,552.24
  4. Step 4: Simplify right side
    9,914.20x = 103,217,068.26
  5. Step 5: Solve for x
    x = 103,217,068.26/9,914.20
  6. Step 6: Final answer
    x = 10,411.03

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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.