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Finding the Fourth Proportional to 9,442, 14,218.09 and 6,994.18

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Solution

The fourth proportional to 9,442, 14,218.09 and 6,994.18 is: 10,532.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442 : 14,218.09 = 6,994.18 : x
  2. Step 2: Convert to fraction form
    9,442/14,218.09 = 6,994.18/x
  3. Step 3: Cross multiply
    9,442x = 14,218.09 × 6,994.18
  4. Step 4: Simplify right side
    9,442x = 99,443,880.72
  5. Step 5: Solve for x
    x = 99,443,880.72/9,442
  6. Step 6: Final answer
    x = 10,532.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.