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Finding the Fourth Proportional to 9,656.92, 14,482.28 and 4,976.31

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Solution

The fourth proportional to 9,656.92, 14,482.28 and 4,976.31 is: 7,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.92 : 14,482.28 = 4,976.31 : x
  2. Step 2: Convert to fraction form
    9,656.92/14,482.28 = 4,976.31/x
  3. Step 3: Cross multiply
    9,656.92x = 14,482.28 × 4,976.31
  4. Step 4: Simplify right side
    9,656.92x = 72,068,327.23
  5. Step 5: Solve for x
    x = 72,068,327.23/9,656.92
  6. Step 6: Final answer
    x = 7,462.87

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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.