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Finding the Fourth Proportional to 9,710.13, 13,401.08 and 5,403.65

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Solution

The fourth proportional to 9,710.13, 13,401.08 and 5,403.65 is: 7,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.13 : 13,401.08 = 5,403.65 : x
  2. Step 2: Convert to fraction form
    9,710.13/13,401.08 = 5,403.65/x
  3. Step 3: Cross multiply
    9,710.13x = 13,401.08 × 5,403.65
  4. Step 4: Simplify right side
    9,710.13x = 72,414,745.94
  5. Step 5: Solve for x
    x = 72,414,745.94/9,710.13
  6. Step 6: Final answer
    x = 7,457.65

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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.