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Finding the Fourth Proportional to 10,355.96, 15,525.76 and 5,968.32

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Solution

The fourth proportional to 10,355.96, 15,525.76 and 5,968.32 is: 8,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.96 : 15,525.76 = 5,968.32 : x
  2. Step 2: Convert to fraction form
    10,355.96/15,525.76 = 5,968.32/x
  3. Step 3: Cross multiply
    10,355.96x = 15,525.76 × 5,968.32
  4. Step 4: Simplify right side
    10,355.96x = 92,662,703.92
  5. Step 5: Solve for x
    x = 92,662,703.92/10,355.96
  6. Step 6: Final answer
    x = 8,947.77

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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.