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Finding the Fourth Proportional to 7,216.30, 10,772.24 and 6,341.50

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Solution

The fourth proportional to 7,216.30, 10,772.24 and 6,341.50 is: 9,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.30 : 10,772.24 = 6,341.50 : x
  2. Step 2: Convert to fraction form
    7,216.30/10,772.24 = 6,341.50/x
  3. Step 3: Cross multiply
    7,216.30x = 10,772.24 × 6,341.50
  4. Step 4: Simplify right side
    7,216.30x = 68,312,159.96
  5. Step 5: Solve for x
    x = 68,312,159.96/7,216.30
  6. Step 6: Final answer
    x = 9,466.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.