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Finding the Fourth Proportional to 4,952.04, 6,830.04 and 3,160.06

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Solution

The fourth proportional to 4,952.04, 6,830.04 and 3,160.06 is: 4,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.04 : 6,830.04 = 3,160.06 : x
  2. Step 2: Convert to fraction form
    4,952.04/6,830.04 = 3,160.06/x
  3. Step 3: Cross multiply
    4,952.04x = 6,830.04 × 3,160.06
  4. Step 4: Simplify right side
    4,952.04x = 21,583,351.62
  5. Step 5: Solve for x
    x = 21,583,351.62/4,952.04
  6. Step 6: Final answer
    x = 4,358.48

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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.