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Finding the Fourth Proportional to 9,644.40, 14,466.51 and 7,708.86

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Solution

The fourth proportional to 9,644.40, 14,466.51 and 7,708.86 is: 11,563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.40 : 14,466.51 = 7,708.86 : x
  2. Step 2: Convert to fraction form
    9,644.40/14,466.51 = 7,708.86/x
  3. Step 3: Cross multiply
    9,644.40x = 14,466.51 × 7,708.86
  4. Step 4: Simplify right side
    9,644.40x = 111,520,300.28
  5. Step 5: Solve for x
    x = 111,520,300.28/9,644.40
  6. Step 6: Final answer
    x = 11,563.22

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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.