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Finding the Fourth Proportional to 11,670.84, 17,506.50 and 6,509.56

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Solution

The fourth proportional to 11,670.84, 17,506.50 and 6,509.56 is: 9,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.84 : 17,506.50 = 6,509.56 : x
  2. Step 2: Convert to fraction form
    11,670.84/17,506.50 = 6,509.56/x
  3. Step 3: Cross multiply
    11,670.84x = 17,506.50 × 6,509.56
  4. Step 4: Simplify right side
    11,670.84x = 113,959,612.14
  5. Step 5: Solve for x
    x = 113,959,612.14/11,670.84
  6. Step 6: Final answer
    x = 9,764.47

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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.