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Finding the Fourth Proportional to 7,752.94, 10,699.16 and 4,216.14

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Solution

The fourth proportional to 7,752.94, 10,699.16 and 4,216.14 is: 5,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.94 : 10,699.16 = 4,216.14 : x
  2. Step 2: Convert to fraction form
    7,752.94/10,699.16 = 4,216.14/x
  3. Step 3: Cross multiply
    7,752.94x = 10,699.16 × 4,216.14
  4. Step 4: Simplify right side
    7,752.94x = 45,109,156.44
  5. Step 5: Solve for x
    x = 45,109,156.44/7,752.94
  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.