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Finding the Fourth Proportional to 9,804.78, 14,710.26 and 3,563.13

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Solution

The fourth proportional to 9,804.78, 14,710.26 and 3,563.13 is: 5,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.78 : 14,710.26 = 3,563.13 : x
  2. Step 2: Convert to fraction form
    9,804.78/14,710.26 = 3,563.13/x
  3. Step 3: Cross multiply
    9,804.78x = 14,710.26 × 3,563.13
  4. Step 4: Simplify right side
    9,804.78x = 52,414,568.71
  5. Step 5: Solve for x
    x = 52,414,568.71/9,804.78
  6. Step 6: Final answer
    x = 5,345.82

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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.