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Finding the Fourth Proportional to 12,457.80, 18,712.70 and 10,513.80

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Solution

The fourth proportional to 12,457.80, 18,712.70 and 10,513.80 is: 15,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.80 : 18,712.70 = 10,513.80 : x
  2. Step 2: Convert to fraction form
    12,457.80/18,712.70 = 10,513.80/x
  3. Step 3: Cross multiply
    12,457.80x = 18,712.70 × 10,513.80
  4. Step 4: Simplify right side
    12,457.80x = 196,741,585.26
  5. Step 5: Solve for x
    x = 196,741,585.26/12,457.80
  6. Step 6: Final answer
    x = 15,792.64

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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.