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Finding the Fourth Proportional to 11,602.69, 16,011.16 and 6,297.46

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Solution

The fourth proportional to 11,602.69, 16,011.16 and 6,297.46 is: 8,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.69 : 16,011.16 = 6,297.46 : x
  2. Step 2: Convert to fraction form
    11,602.69/16,011.16 = 6,297.46/x
  3. Step 3: Cross multiply
    11,602.69x = 16,011.16 × 6,297.46
  4. Step 4: Simplify right side
    11,602.69x = 100,829,639.65
  5. Step 5: Solve for x
    x = 100,829,639.65/11,602.69
  6. Step 6: Final answer
    x = 8,690.20

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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.