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Finding the Fourth Proportional to 9,962.53, 14,953.02 and 5,035.63

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Solution

The fourth proportional to 9,962.53, 14,953.02 and 5,035.63 is: 7,558.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.53 : 14,953.02 = 5,035.63 : x
  2. Step 2: Convert to fraction form
    9,962.53/14,953.02 = 5,035.63/x
  3. Step 3: Cross multiply
    9,962.53x = 14,953.02 × 5,035.63
  4. Step 4: Simplify right side
    9,962.53x = 75,297,876.10
  5. Step 5: Solve for x
    x = 75,297,876.10/9,962.53
  6. Step 6: Final answer
    x = 7,558.11

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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.