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Finding the Fourth Proportional to 11,137.03, 15,368.65 and 6,658.14

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Solution

The fourth proportional to 11,137.03, 15,368.65 and 6,658.14 is: 9,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.03 : 15,368.65 = 6,658.14 : x
  2. Step 2: Convert to fraction form
    11,137.03/15,368.65 = 6,658.14/x
  3. Step 3: Cross multiply
    11,137.03x = 15,368.65 × 6,658.14
  4. Step 4: Simplify right side
    11,137.03x = 102,326,623.31
  5. Step 5: Solve for x
    x = 102,326,623.31/11,137.03
  6. Step 6: Final answer
    x = 9,187.96

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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.