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Finding the Fourth Proportional to 16,065, 24,095.88 and 7,297.56

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Solution

The fourth proportional to 16,065, 24,095.88 and 7,297.56 is: 10,945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,065 : 24,095.88 = 7,297.56 : x
  2. Step 2: Convert to fraction form
    16,065/24,095.88 = 7,297.56/x
  3. Step 3: Cross multiply
    16,065x = 24,095.88 × 7,297.56
  4. Step 4: Simplify right side
    16,065x = 175,841,130.05
  5. Step 5: Solve for x
    x = 175,841,130.05/16,065
  6. Step 6: Final answer
    x = 10,945.60

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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.