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Finding the Fourth Proportional to 6,564.84, 9,057.16 and 4,208.28

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Solution

The fourth proportional to 6,564.84, 9,057.16 and 4,208.28 is: 5,805.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.84 : 9,057.16 = 4,208.28 : x
  2. Step 2: Convert to fraction form
    6,564.84/9,057.16 = 4,208.28/x
  3. Step 3: Cross multiply
    6,564.84x = 9,057.16 × 4,208.28
  4. Step 4: Simplify right side
    6,564.84x = 38,115,065.28
  5. Step 5: Solve for x
    x = 38,115,065.28/6,564.84
  6. Step 6: Final answer
    x = 5,805.94

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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.