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Finding the Fourth Proportional to 9,962.54, 14,950.71 and 4,119.20

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Solution

The fourth proportional to 9,962.54, 14,950.71 and 4,119.20 is: 6,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.54 : 14,950.71 = 4,119.20 : x
  2. Step 2: Convert to fraction form
    9,962.54/14,950.71 = 4,119.20/x
  3. Step 3: Cross multiply
    9,962.54x = 14,950.71 × 4,119.20
  4. Step 4: Simplify right side
    9,962.54x = 61,584,964.63
  5. Step 5: Solve for x
    x = 61,584,964.63/9,962.54
  6. Step 6: Final answer
    x = 6,181.65

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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.