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Finding the Fourth Proportional to 17,012.80, 23,478.12 and 10,297

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Solution

The fourth proportional to 17,012.80, 23,478.12 and 10,297 is: 14,210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,012.80 : 23,478.12 = 10,297 : x
  2. Step 2: Convert to fraction form
    17,012.80/23,478.12 = 10,297/x
  3. Step 3: Cross multiply
    17,012.80x = 23,478.12 × 10,297
  4. Step 4: Simplify right side
    17,012.80x = 241,754,201.64
  5. Step 5: Solve for x
    x = 241,754,201.64/17,012.80
  6. Step 6: Final answer
    x = 14,210.14

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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.