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Finding the Fourth Proportional to 10,681.50, 16,002.80 and 10,448.22

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Solution

The fourth proportional to 10,681.50, 16,002.80 and 10,448.22 is: 15,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.50 : 16,002.80 = 10,448.22 : x
  2. Step 2: Convert to fraction form
    10,681.50/16,002.80 = 10,448.22/x
  3. Step 3: Cross multiply
    10,681.50x = 16,002.80 × 10,448.22
  4. Step 4: Simplify right side
    10,681.50x = 167,200,695.00
  5. Step 5: Solve for x
    x = 167,200,695.00/10,681.50
  6. Step 6: Final answer
    x = 15,653.30

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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.