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Finding the Fourth Proportional to 28,539.46, 42,809.28 and 7,762.96

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Solution

The fourth proportional to 28,539.46, 42,809.28 and 7,762.96 is: 11,644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,539.46 : 42,809.28 = 7,762.96 : x
  2. Step 2: Convert to fraction form
    28,539.46/42,809.28 = 7,762.96/x
  3. Step 3: Cross multiply
    28,539.46x = 42,809.28 × 7,762.96
  4. Step 4: Simplify right side
    28,539.46x = 332,326,728.27
  5. Step 5: Solve for x
    x = 332,326,728.27/28,539.46
  6. Step 6: Final answer
    x = 11,644.46

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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.