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Finding the Fourth Proportional to 9,644.80, 14,467.20 and 7,457.80

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Solution

The fourth proportional to 9,644.80, 14,467.20 and 7,457.80 is: 11,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.80 : 14,467.20 = 7,457.80 : x
  2. Step 2: Convert to fraction form
    9,644.80/14,467.20 = 7,457.80/x
  3. Step 3: Cross multiply
    9,644.80x = 14,467.20 × 7,457.80
  4. Step 4: Simplify right side
    9,644.80x = 107,893,484.16
  5. Step 5: Solve for x
    x = 107,893,484.16/9,644.80
  6. Step 6: Final answer
    x = 11,186.70

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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.