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Finding the Fourth Proportional to 4,547.14, 6,773.78 and 4,409.46

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Solution

The fourth proportional to 4,547.14, 6,773.78 and 4,409.46 is: 6,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.14 : 6,773.78 = 4,409.46 : x
  2. Step 2: Convert to fraction form
    4,547.14/6,773.78 = 4,409.46/x
  3. Step 3: Cross multiply
    4,547.14x = 6,773.78 × 4,409.46
  4. Step 4: Simplify right side
    4,547.14x = 29,868,717.23
  5. Step 5: Solve for x
    x = 29,868,717.23/4,547.14
  6. Step 6: Final answer
    x = 6,568.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.