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Finding the Fourth Proportional to 8,994.16, 13,428.46 and 7,760.24

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Solution

The fourth proportional to 8,994.16, 13,428.46 and 7,760.24 is: 11,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,994.16 : 13,428.46 = 7,760.24 : x
  2. Step 2: Convert to fraction form
    8,994.16/13,428.46 = 7,760.24/x
  3. Step 3: Cross multiply
    8,994.16x = 13,428.46 × 7,760.24
  4. Step 4: Simplify right side
    8,994.16x = 104,208,072.43
  5. Step 5: Solve for x
    x = 104,208,072.43/8,994.16
  6. Step 6: Final answer
    x = 11,586.19

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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.