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Finding the Fourth Proportional to 5,648.04, 7,794 and 3,130.08

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Solution

The fourth proportional to 5,648.04, 7,794 and 3,130.08 is: 4,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.04 : 7,794 = 3,130.08 : x
  2. Step 2: Convert to fraction form
    5,648.04/7,794 = 3,130.08/x
  3. Step 3: Cross multiply
    5,648.04x = 7,794 × 3,130.08
  4. Step 4: Simplify right side
    5,648.04x = 24,395,843.52
  5. Step 5: Solve for x
    x = 24,395,843.52/5,648.04
  6. Step 6: Final answer
    x = 4,319.35

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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.