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Finding the Fourth Proportional to 4,735.61, 6,535.71 and 2,848.16

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Solution

The fourth proportional to 4,735.61, 6,535.71 and 2,848.16 is: 3,930.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.61 : 6,535.71 = 2,848.16 : x
  2. Step 2: Convert to fraction form
    4,735.61/6,535.71 = 2,848.16/x
  3. Step 3: Cross multiply
    4,735.61x = 6,535.71 × 2,848.16
  4. Step 4: Simplify right side
    4,735.61x = 18,614,747.79
  5. Step 5: Solve for x
    x = 18,614,747.79/4,735.61
  6. Step 6: Final answer
    x = 3,930.80

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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.