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Finding the Fourth Proportional to 7,596, 10,482.84 and 4,284

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Solution

The fourth proportional to 7,596, 10,482.84 and 4,284 is: 5,912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596 : 10,482.84 = 4,284 : x
  2. Step 2: Convert to fraction form
    7,596/10,482.84 = 4,284/x
  3. Step 3: Cross multiply
    7,596x = 10,482.84 × 4,284
  4. Step 4: Simplify right side
    7,596x = 44,908,486.56
  5. Step 5: Solve for x
    x = 44,908,486.56/7,596
  6. Step 6: Final answer
    x = 5,912.12

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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.