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Finding the Fourth Proportional to 9,792.96, 14,677.92 and 6,278.40

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Solution

The fourth proportional to 9,792.96, 14,677.92 and 6,278.40 is: 9,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.96 : 14,677.92 = 6,278.40 : x
  2. Step 2: Convert to fraction form
    9,792.96/14,677.92 = 6,278.40/x
  3. Step 3: Cross multiply
    9,792.96x = 14,677.92 × 6,278.40
  4. Step 4: Simplify right side
    9,792.96x = 92,153,852.93
  5. Step 5: Solve for x
    x = 92,153,852.93/9,792.96
  6. Step 6: Final answer
    x = 9,410.21

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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.