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Finding the Fourth Proportional to 9,967.76, 14,942.40 and 4,418.16

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Solution

The fourth proportional to 9,967.76, 14,942.40 and 4,418.16 is: 6,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.76 : 14,942.40 = 4,418.16 : x
  2. Step 2: Convert to fraction form
    9,967.76/14,942.40 = 4,418.16/x
  3. Step 3: Cross multiply
    9,967.76x = 14,942.40 × 4,418.16
  4. Step 4: Simplify right side
    9,967.76x = 66,017,913.98
  5. Step 5: Solve for x
    x = 66,017,913.98/9,967.76
  6. Step 6: Final answer
    x = 6,623.14

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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.