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Finding the Fourth Proportional to 11,502.60, 17,234.70 and 5,646.60

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Solution

The fourth proportional to 11,502.60, 17,234.70 and 5,646.60 is: 8,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.60 : 17,234.70 = 5,646.60 : x
  2. Step 2: Convert to fraction form
    11,502.60/17,234.70 = 5,646.60/x
  3. Step 3: Cross multiply
    11,502.60x = 17,234.70 × 5,646.60
  4. Step 4: Simplify right side
    11,502.60x = 97,317,457.02
  5. Step 5: Solve for x
    x = 97,317,457.02/11,502.60
  6. Step 6: Final answer
    x = 8,460.47

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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.