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Finding the Fourth Proportional to 7,752.98, 10,699.14 and 4,216.17

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Solution

The fourth proportional to 7,752.98, 10,699.14 and 4,216.17 is: 5,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.98 : 10,699.14 = 4,216.17 : x
  2. Step 2: Convert to fraction form
    7,752.98/10,699.14 = 4,216.17/x
  3. Step 3: Cross multiply
    7,752.98x = 10,699.14 × 4,216.17
  4. Step 4: Simplify right side
    7,752.98x = 45,109,393.09
  5. Step 5: Solve for x
    x = 45,109,393.09/7,752.98
  6. Step 6: Final answer
    x = 5,818.33

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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.