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Finding the Fourth Proportional to 8,574.87, 11,807.01 and 7,506.66

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Solution

The fourth proportional to 8,574.87, 11,807.01 and 7,506.66 is: 10,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.87 : 11,807.01 = 7,506.66 : x
  2. Step 2: Convert to fraction form
    8,574.87/11,807.01 = 7,506.66/x
  3. Step 3: Cross multiply
    8,574.87x = 11,807.01 × 7,506.66
  4. Step 4: Simplify right side
    8,574.87x = 88,631,209.69
  5. Step 5: Solve for x
    x = 88,631,209.69/8,574.87
  6. Step 6: Final answer
    x = 10,336.16

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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.