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Finding the Fourth Proportional to 7,952.31, 10,973.88 and 4,415.74

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Solution

The fourth proportional to 7,952.31, 10,973.88 and 4,415.74 is: 6,093.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.31 : 10,973.88 = 4,415.74 : x
  2. Step 2: Convert to fraction form
    7,952.31/10,973.88 = 4,415.74/x
  3. Step 3: Cross multiply
    7,952.31x = 10,973.88 × 4,415.74
  4. Step 4: Simplify right side
    7,952.31x = 48,457,773.44
  5. Step 5: Solve for x
    x = 48,457,773.44/7,952.31
  6. Step 6: Final answer
    x = 6,093.55

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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.