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Finding the Fourth Proportional to 15,737.08, 23,622 and 6,978.14

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Solution

The fourth proportional to 15,737.08, 23,622 and 6,978.14 is: 10,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.08 : 23,622 = 6,978.14 : x
  2. Step 2: Convert to fraction form
    15,737.08/23,622 = 6,978.14/x
  3. Step 3: Cross multiply
    15,737.08x = 23,622 × 6,978.14
  4. Step 4: Simplify right side
    15,737.08x = 164,837,623.08
  5. Step 5: Solve for x
    x = 164,837,623.08/15,737.08
  6. Step 6: Final answer
    x = 10,474.47

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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.