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Finding the Fourth Proportional to 28,538.76, 42,808.02 and 7,762.20

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Solution

The fourth proportional to 28,538.76, 42,808.02 and 7,762.20 is: 11,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,538.76 : 42,808.02 = 7,762.20 : x
  2. Step 2: Convert to fraction form
    28,538.76/42,808.02 = 7,762.20/x
  3. Step 3: Cross multiply
    28,538.76x = 42,808.02 × 7,762.20
  4. Step 4: Simplify right side
    28,538.76x = 332,284,412.84
  5. Step 5: Solve for x
    x = 332,284,412.84/28,538.76
  6. Step 6: Final answer
    x = 11,643.27

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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.