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Finding the Fourth Proportional to 11,462.58, 17,271.96 and 9,428.16

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Solution

The fourth proportional to 11,462.58, 17,271.96 and 9,428.16 is: 14,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.58 : 17,271.96 = 9,428.16 : x
  2. Step 2: Convert to fraction form
    11,462.58/17,271.96 = 9,428.16/x
  3. Step 3: Cross multiply
    11,462.58x = 17,271.96 × 9,428.16
  4. Step 4: Simplify right side
    11,462.58x = 162,842,802.39
  5. Step 5: Solve for x
    x = 162,842,802.39/11,462.58
  6. Step 6: Final answer
    x = 14,206.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.