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Finding the Fourth Proportional to 7,537, 11,307.18 and 3,094.66

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Solution

The fourth proportional to 7,537, 11,307.18 and 3,094.66 is: 4,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537 : 11,307.18 = 3,094.66 : x
  2. Step 2: Convert to fraction form
    7,537/11,307.18 = 3,094.66/x
  3. Step 3: Cross multiply
    7,537x = 11,307.18 × 3,094.66
  4. Step 4: Simplify right side
    7,537x = 34,991,877.66
  5. Step 5: Solve for x
    x = 34,991,877.66/7,537
  6. Step 6: Final answer
    x = 4,642.68

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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.