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Finding the Fourth Proportional to 24,783.42, 37,181.43 and 7,014.06

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Solution

The fourth proportional to 24,783.42, 37,181.43 and 7,014.06 is: 10,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.42 : 37,181.43 = 7,014.06 : x
  2. Step 2: Convert to fraction form
    24,783.42/37,181.43 = 7,014.06/x
  3. Step 3: Cross multiply
    24,783.42x = 37,181.43 × 7,014.06
  4. Step 4: Simplify right side
    24,783.42x = 260,792,780.91
  5. Step 5: Solve for x
    x = 260,792,780.91/24,783.42
  6. Step 6: Final answer
    x = 10,522.87

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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.