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Finding the Fourth Proportional to 4,847.16, 7,256.16 and 4,385.16

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Solution

The fourth proportional to 4,847.16, 7,256.16 and 4,385.16 is: 6,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.16 : 7,256.16 = 4,385.16 : x
  2. Step 2: Convert to fraction form
    4,847.16/7,256.16 = 4,385.16/x
  3. Step 3: Cross multiply
    4,847.16x = 7,256.16 × 4,385.16
  4. Step 4: Simplify right side
    4,847.16x = 31,819,422.59
  5. Step 5: Solve for x
    x = 31,819,422.59/4,847.16
  6. Step 6: Final answer
    x = 6,564.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.