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Finding the Fourth Proportional to 4,547.84, 6,820.29 and 1,773.83

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Solution

The fourth proportional to 4,547.84, 6,820.29 and 1,773.83 is: 2,660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.84 : 6,820.29 = 1,773.83 : x
  2. Step 2: Convert to fraction form
    4,547.84/6,820.29 = 1,773.83/x
  3. Step 3: Cross multiply
    4,547.84x = 6,820.29 × 1,773.83
  4. Step 4: Simplify right side
    4,547.84x = 12,098,000.91
  5. Step 5: Solve for x
    x = 12,098,000.91/4,547.84
  6. Step 6: Final answer
    x = 2,660.17

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1.5x scale

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.