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Finding the Fourth Proportional to 15,825.16, 23,737.74 and 7,057.72

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Solution

The fourth proportional to 15,825.16, 23,737.74 and 7,057.72 is: 10,586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.16 : 23,737.74 = 7,057.72 : x
  2. Step 2: Convert to fraction form
    15,825.16/23,737.74 = 7,057.72/x
  3. Step 3: Cross multiply
    15,825.16x = 23,737.74 × 7,057.72
  4. Step 4: Simplify right side
    15,825.16x = 167,534,322.35
  5. Step 5: Solve for x
    x = 167,534,322.35/15,825.16
  6. Step 6: Final answer
    x = 10,586.58

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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.