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Finding the Fourth Proportional to 9,490.78, 14,244.78 and 4,814.05

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Solution

The fourth proportional to 9,490.78, 14,244.78 and 4,814.05 is: 7,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.78 : 14,244.78 = 4,814.05 : x
  2. Step 2: Convert to fraction form
    9,490.78/14,244.78 = 4,814.05/x
  3. Step 3: Cross multiply
    9,490.78x = 14,244.78 × 4,814.05
  4. Step 4: Simplify right side
    9,490.78x = 68,575,083.16
  5. Step 5: Solve for x
    x = 68,575,083.16/9,490.78
  6. Step 6: Final answer
    x = 7,225.44

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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.