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Finding the Fourth Proportional to 6,913.44, 9,533.00 and 4,671.43

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Solution

The fourth proportional to 6,913.44, 9,533.00 and 4,671.43 is: 6,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.44 : 9,533.00 = 4,671.43 : x
  2. Step 2: Convert to fraction form
    6,913.44/9,533.00 = 4,671.43/x
  3. Step 3: Cross multiply
    6,913.44x = 9,533.00 × 4,671.43
  4. Step 4: Simplify right side
    6,913.44x = 44,532,730.04
  5. Step 5: Solve for x
    x = 44,532,730.04/6,913.44
  6. Step 6: Final answer
    x = 6,441.47

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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.