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Finding the Fourth Proportional to 9,000.95, 12,421.22 and 4,967.82

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Solution

The fourth proportional to 9,000.95, 12,421.22 and 4,967.82 is: 6,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.95 : 12,421.22 = 4,967.82 : x
  2. Step 2: Convert to fraction form
    9,000.95/12,421.22 = 4,967.82/x
  3. Step 3: Cross multiply
    9,000.95x = 12,421.22 × 4,967.82
  4. Step 4: Simplify right side
    9,000.95x = 61,706,360.30
  5. Step 5: Solve for x
    x = 61,706,360.30/9,000.95
  6. Step 6: Final answer
    x = 6,855.54

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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.