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Finding the Fourth Proportional to 17,660.16, 24,370.07 and 9,701.10

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Solution

The fourth proportional to 17,660.16, 24,370.07 and 9,701.10 is: 13,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,660.16 : 24,370.07 = 9,701.10 : x
  2. Step 2: Convert to fraction form
    17,660.16/24,370.07 = 9,701.10/x
  3. Step 3: Cross multiply
    17,660.16x = 24,370.07 × 9,701.10
  4. Step 4: Simplify right side
    17,660.16x = 236,416,437.57
  5. Step 5: Solve for x
    x = 236,416,437.57/17,660.16
  6. Step 6: Final answer
    x = 13,386.99

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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.