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Finding the Fourth Proportional to 6,022.44, 9,020.64 and 4,970.64

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Solution

The fourth proportional to 6,022.44, 9,020.64 and 4,970.64 is: 7,445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.44 : 9,020.64 = 4,970.64 : x
  2. Step 2: Convert to fraction form
    6,022.44/9,020.64 = 4,970.64/x
  3. Step 3: Cross multiply
    6,022.44x = 9,020.64 × 4,970.64
  4. Step 4: Simplify right side
    6,022.44x = 44,838,354.01
  5. Step 5: Solve for x
    x = 44,838,354.01/6,022.44
  6. Step 6: Final answer
    x = 7,445.21

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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.