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Finding the Fourth Proportional to 12,615.48, 17,410.14 and 7,026.48

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Solution

The fourth proportional to 12,615.48, 17,410.14 and 7,026.48 is: 9,696.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.48 : 17,410.14 = 7,026.48 : x
  2. Step 2: Convert to fraction form
    12,615.48/17,410.14 = 7,026.48/x
  3. Step 3: Cross multiply
    12,615.48x = 17,410.14 × 7,026.48
  4. Step 4: Simplify right side
    12,615.48x = 122,332,000.51
  5. Step 5: Solve for x
    x = 122,332,000.51/12,615.48
  6. Step 6: Final answer
    x = 9,696.98

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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.