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Finding the Fourth Proportional to 8,237.64, 12,352.50 and 3,851.40

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Solution

The fourth proportional to 8,237.64, 12,352.50 and 3,851.40 is: 5,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.64 : 12,352.50 = 3,851.40 : x
  2. Step 2: Convert to fraction form
    8,237.64/12,352.50 = 3,851.40/x
  3. Step 3: Cross multiply
    8,237.64x = 12,352.50 × 3,851.40
  4. Step 4: Simplify right side
    8,237.64x = 47,574,418.50
  5. Step 5: Solve for x
    x = 47,574,418.50/8,237.64
  6. Step 6: Final answer
    x = 5,775.25

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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.