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Finding the Fourth Proportional to 11,613.72, 17,410.80 and 9,417

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Solution

The fourth proportional to 11,613.72, 17,410.80 and 9,417 is: 14,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.72 : 17,410.80 = 9,417 : x
  2. Step 2: Convert to fraction form
    11,613.72/17,410.80 = 9,417/x
  3. Step 3: Cross multiply
    11,613.72x = 17,410.80 × 9,417
  4. Step 4: Simplify right side
    11,613.72x = 163,957,503.60
  5. Step 5: Solve for x
    x = 163,957,503.60/11,613.72
  6. Step 6: Final answer
    x = 14,117.57

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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.