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Finding the Fourth Proportional to 7,951.91, 10,973.88 and 4,415.40

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Solution

The fourth proportional to 7,951.91, 10,973.88 and 4,415.40 is: 6,093.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.91 : 10,973.88 = 4,415.40 : x
  2. Step 2: Convert to fraction form
    7,951.91/10,973.88 = 4,415.40/x
  3. Step 3: Cross multiply
    7,951.91x = 10,973.88 × 4,415.40
  4. Step 4: Simplify right side
    7,951.91x = 48,454,069.75
  5. Step 5: Solve for x
    x = 48,454,069.75/7,951.91
  6. Step 6: Final answer
    x = 6,093.39

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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.