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Finding the Fourth Proportional to 8,477.98, 11,703.27 and 7,946.62

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Solution

The fourth proportional to 8,477.98, 11,703.27 and 7,946.62 is: 10,969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.98 : 11,703.27 = 7,946.62 : x
  2. Step 2: Convert to fraction form
    8,477.98/11,703.27 = 7,946.62/x
  3. Step 3: Cross multiply
    8,477.98x = 11,703.27 × 7,946.62
  4. Step 4: Simplify right side
    8,477.98x = 93,001,439.45
  5. Step 5: Solve for x
    x = 93,001,439.45/8,477.98
  6. Step 6: Final answer
    x = 10,969.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.