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Finding the Fourth Proportional to 4,586.78, 6,880.10 and 1,466.78

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Solution

The fourth proportional to 4,586.78, 6,880.10 and 1,466.78 is: 2,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.78 : 6,880.10 = 1,466.78 : x
  2. Step 2: Convert to fraction form
    4,586.78/6,880.10 = 1,466.78/x
  3. Step 3: Cross multiply
    4,586.78x = 6,880.10 × 1,466.78
  4. Step 4: Simplify right side
    4,586.78x = 10,091,551.34
  5. Step 5: Solve for x
    x = 10,091,551.34/4,586.78
  6. Step 6: Final answer
    x = 2,200.14

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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.