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Finding the Fourth Proportional to 30,586.72, 45,880.14 and 8,400.40

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Solution

The fourth proportional to 30,586.72, 45,880.14 and 8,400.40 is: 12,600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,586.72 : 45,880.14 = 8,400.40 : x
  2. Step 2: Convert to fraction form
    30,586.72/45,880.14 = 8,400.40/x
  3. Step 3: Cross multiply
    30,586.72x = 45,880.14 × 8,400.40
  4. Step 4: Simplify right side
    30,586.72x = 385,411,528.06
  5. Step 5: Solve for x
    x = 385,411,528.06/30,586.72
  6. Step 6: Final answer
    x = 12,600.62

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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.