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Finding the Fourth Proportional to 17,314.61, 25,971.95 and 9,913.97

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Solution

The fourth proportional to 17,314.61, 25,971.95 and 9,913.97 is: 14,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.61 : 25,971.95 = 9,913.97 : x
  2. Step 2: Convert to fraction form
    17,314.61/25,971.95 = 9,913.97/x
  3. Step 3: Cross multiply
    17,314.61x = 25,971.95 × 9,913.97
  4. Step 4: Simplify right side
    17,314.61x = 257,485,222.86
  5. Step 5: Solve for x
    x = 257,485,222.86/17,314.61
  6. Step 6: Final answer
    x = 14,870.98

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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.