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Finding the Fourth Proportional to 7,154.67, 9,874.64 and 4,172.25

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Solution

The fourth proportional to 7,154.67, 9,874.64 and 4,172.25 is: 5,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.67 : 9,874.64 = 4,172.25 : x
  2. Step 2: Convert to fraction form
    7,154.67/9,874.64 = 4,172.25/x
  3. Step 3: Cross multiply
    7,154.67x = 9,874.64 × 4,172.25
  4. Step 4: Simplify right side
    7,154.67x = 41,199,466.74
  5. Step 5: Solve for x
    x = 41,199,466.74/7,154.67
  6. Step 6: Final answer
    x = 5,758.40

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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.