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Finding the Fourth Proportional to 7,684.16, 10,599.84 and 5,195.84

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Solution

The fourth proportional to 7,684.16, 10,599.84 and 5,195.84 is: 7,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.16 : 10,599.84 = 5,195.84 : x
  2. Step 2: Convert to fraction form
    7,684.16/10,599.84 = 5,195.84/x
  3. Step 3: Cross multiply
    7,684.16x = 10,599.84 × 5,195.84
  4. Step 4: Simplify right side
    7,684.16x = 55,075,072.67
  5. Step 5: Solve for x
    x = 55,075,072.67/7,684.16
  6. Step 6: Final answer
    x = 7,167.35

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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.