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Finding the Fourth Proportional to 12,294.23, 16,975.53 and 9,457.20

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Solution

The fourth proportional to 12,294.23, 16,975.53 and 9,457.20 is: 13,058.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.23 : 16,975.53 = 9,457.20 : x
  2. Step 2: Convert to fraction form
    12,294.23/16,975.53 = 9,457.20/x
  3. Step 3: Cross multiply
    12,294.23x = 16,975.53 × 9,457.20
  4. Step 4: Simplify right side
    12,294.23x = 160,540,982.32
  5. Step 5: Solve for x
    x = 160,540,982.32/12,294.23
  6. Step 6: Final answer
    x = 13,058.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.