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Finding the Fourth Proportional to 9,874.58, 14,817.76 and 3,548.93

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Solution

The fourth proportional to 9,874.58, 14,817.76 and 3,548.93 is: 5,325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.58 : 14,817.76 = 3,548.93 : x
  2. Step 2: Convert to fraction form
    9,874.58/14,817.76 = 3,548.93/x
  3. Step 3: Cross multiply
    9,874.58x = 14,817.76 × 3,548.93
  4. Step 4: Simplify right side
    9,874.58x = 52,587,110.04
  5. Step 5: Solve for x
    x = 52,587,110.04/9,874.58
  6. Step 6: Final answer
    x = 5,325.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.