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Finding the Fourth Proportional to 9,805.48, 14,699.95 and 4,254.65

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Solution

The fourth proportional to 9,805.48, 14,699.95 and 4,254.65 is: 6,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.48 : 14,699.95 = 4,254.65 : x
  2. Step 2: Convert to fraction form
    9,805.48/14,699.95 = 4,254.65/x
  3. Step 3: Cross multiply
    9,805.48x = 14,699.95 × 4,254.65
  4. Step 4: Simplify right side
    9,805.48x = 62,543,142.27
  5. Step 5: Solve for x
    x = 62,543,142.27/9,805.48
  6. Step 6: Final answer
    x = 6,378.39

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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.