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Finding the Fourth Proportional to 9,644.74, 14,466.02 and 6,544.66

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Solution

The fourth proportional to 9,644.74, 14,466.02 and 6,544.66 is: 9,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.74 : 14,466.02 = 6,544.66 : x
  2. Step 2: Convert to fraction form
    9,644.74/14,466.02 = 6,544.66/x
  3. Step 3: Cross multiply
    9,644.74x = 14,466.02 × 6,544.66
  4. Step 4: Simplify right side
    9,644.74x = 94,675,182.45
  5. Step 5: Solve for x
    x = 94,675,182.45/9,644.74
  6. Step 6: Final answer
    x = 9,816.25

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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.