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Finding the Fourth Proportional to 6,225.50, 9,315.18 and 4,989.16

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Solution

The fourth proportional to 6,225.50, 9,315.18 and 4,989.16 is: 7,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.50 : 9,315.18 = 4,989.16 : x
  2. Step 2: Convert to fraction form
    6,225.50/9,315.18 = 4,989.16/x
  3. Step 3: Cross multiply
    6,225.50x = 9,315.18 × 4,989.16
  4. Step 4: Simplify right side
    6,225.50x = 46,474,900.16
  5. Step 5: Solve for x
    x = 46,474,900.16/6,225.50
  6. Step 6: Final answer
    x = 7,465.24

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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.