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Finding the Fourth Proportional to 30,585.72, 45,873.10 and 8,396.18

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Solution

The fourth proportional to 30,585.72, 45,873.10 and 8,396.18 is: 12,592.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,585.72 : 45,873.10 = 8,396.18 : x
  2. Step 2: Convert to fraction form
    30,585.72/45,873.10 = 8,396.18/x
  3. Step 3: Cross multiply
    30,585.72x = 45,873.10 × 8,396.18
  4. Step 4: Simplify right side
    30,585.72x = 385,158,533.41
  5. Step 5: Solve for x
    x = 385,158,533.41/30,585.72
  6. Step 6: Final answer
    x = 12,592.76

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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.