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Finding the Fourth Proportional to 12,613.77, 17,407.01 and 6,948.51

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Solution

The fourth proportional to 12,613.77, 17,407.01 and 6,948.51 is: 9,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.77 : 17,407.01 = 6,948.51 : x
  2. Step 2: Convert to fraction form
    12,613.77/17,407.01 = 6,948.51/x
  3. Step 3: Cross multiply
    12,613.77x = 17,407.01 × 6,948.51
  4. Step 4: Simplify right side
    12,613.77x = 120,952,661.28
  5. Step 5: Solve for x
    x = 120,952,661.28/12,613.77
  6. Step 6: Final answer
    x = 9,588.94

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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.