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Finding the Fourth Proportional to 11,466.01, 17,199 and 7,569.50

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Solution

The fourth proportional to 11,466.01, 17,199 and 7,569.50 is: 11,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.01 : 17,199 = 7,569.50 : x
  2. Step 2: Convert to fraction form
    11,466.01/17,199 = 7,569.50/x
  3. Step 3: Cross multiply
    11,466.01x = 17,199 × 7,569.50
  4. Step 4: Simplify right side
    11,466.01x = 130,187,841.25
  5. Step 5: Solve for x
    x = 130,187,841.25/11,466.01
  6. Step 6: Final answer
    x = 11,354.25

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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.