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Finding the Fourth Proportional to 5,570.78, 8,356.14 and 1,466.78

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Solution

The fourth proportional to 5,570.78, 8,356.14 and 1,466.78 is: 2,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.78 : 8,356.14 = 1,466.78 : x
  2. Step 2: Convert to fraction form
    5,570.78/8,356.14 = 1,466.78/x
  3. Step 3: Cross multiply
    5,570.78x = 8,356.14 × 1,466.78
  4. Step 4: Simplify right side
    5,570.78x = 12,256,619.03
  5. Step 5: Solve for x
    x = 12,256,619.03/5,570.78
  6. Step 6: Final answer
    x = 2,200.16

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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.