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Finding the Fourth Proportional to 9,654.68, 14,457.51 and 8,090.57

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Solution

The fourth proportional to 9,654.68, 14,457.51 and 8,090.57 is: 12,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.68 : 14,457.51 = 8,090.57 : x
  2. Step 2: Convert to fraction form
    9,654.68/14,457.51 = 8,090.57/x
  3. Step 3: Cross multiply
    9,654.68x = 14,457.51 × 8,090.57
  4. Step 4: Simplify right side
    9,654.68x = 116,969,496.68
  5. Step 5: Solve for x
    x = 116,969,496.68/9,654.68
  6. Step 6: Final answer
    x = 12,115.32

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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.