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Finding the Fourth Proportional to 12,915.99, 17,832.63 and 9,926.46

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Solution

The fourth proportional to 12,915.99, 17,832.63 and 9,926.46 is: 13,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.99 : 17,832.63 = 9,926.46 : x
  2. Step 2: Convert to fraction form
    12,915.99/17,832.63 = 9,926.46/x
  3. Step 3: Cross multiply
    12,915.99x = 17,832.63 × 9,926.46
  4. Step 4: Simplify right side
    12,915.99x = 177,014,888.39
  5. Step 5: Solve for x
    x = 177,014,888.39/12,915.99
  6. Step 6: Final answer
    x = 13,705.10

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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.