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Finding the Fourth Proportional to 4,548, 6,822 and 1,470

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Solution

The fourth proportional to 4,548, 6,822 and 1,470 is: 2,205

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548 : 6,822 = 1,470 : x
  2. Step 2: Convert to fraction form
    4,548/6,822 = 1,470/x
  3. Step 3: Cross multiply
    4,548x = 6,822 × 1,470
  4. Step 4: Simplify right side
    4,548x = 10,028,340
  5. Step 5: Solve for x
    x = 10,028,340/4,548
  6. Step 6: Final answer
    x = 2,205

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.