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Finding the Fourth Proportional to 7,116.99, 9,821.43 and 4,134.57

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Solution

The fourth proportional to 7,116.99, 9,821.43 and 4,134.57 is: 5,705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.99 : 9,821.43 = 4,134.57 : x
  2. Step 2: Convert to fraction form
    7,116.99/9,821.43 = 4,134.57/x
  3. Step 3: Cross multiply
    7,116.99x = 9,821.43 × 4,134.57
  4. Step 4: Simplify right side
    7,116.99x = 40,607,389.84
  5. Step 5: Solve for x
    x = 40,607,389.84/7,116.99
  6. Step 6: Final answer
    x = 5,705.70

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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.