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Finding the Fourth Proportional to 5,533.63, 7,629.06 and 4,470.20

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Solution

The fourth proportional to 5,533.63, 7,629.06 and 4,470.20 is: 6,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.63 : 7,629.06 = 4,470.20 : x
  2. Step 2: Convert to fraction form
    5,533.63/7,629.06 = 4,470.20/x
  3. Step 3: Cross multiply
    5,533.63x = 7,629.06 × 4,470.20
  4. Step 4: Simplify right side
    5,533.63x = 34,103,385.87
  5. Step 5: Solve for x
    x = 34,103,385.87/5,533.63
  6. Step 6: Final answer
    x = 6,162.93

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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.