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Finding the Fourth Proportional to 16,095.80, 24,127.65 and 7,647.48

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Solution

The fourth proportional to 16,095.80, 24,127.65 and 7,647.48 is: 11,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,095.80 : 24,127.65 = 7,647.48 : x
  2. Step 2: Convert to fraction form
    16,095.80/24,127.65 = 7,647.48/x
  3. Step 3: Cross multiply
    16,095.80x = 24,127.65 × 7,647.48
  4. Step 4: Simplify right side
    16,095.80x = 184,515,720.82
  5. Step 5: Solve for x
    x = 184,515,720.82/16,095.80
  6. Step 6: Final answer
    x = 11,463.60

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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.