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Finding the Fourth Proportional to 15,777.34, 23,677.74 and 7,459.90

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Solution

The fourth proportional to 15,777.34, 23,677.74 and 7,459.90 is: 11,195.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.34 : 23,677.74 = 7,459.90 : x
  2. Step 2: Convert to fraction form
    15,777.34/23,677.74 = 7,459.90/x
  3. Step 3: Cross multiply
    15,777.34x = 23,677.74 × 7,459.90
  4. Step 4: Simplify right side
    15,777.34x = 176,633,513.43
  5. Step 5: Solve for x
    x = 176,633,513.43/15,777.34
  6. Step 6: Final answer
    x = 11,195.39

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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.