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Finding the Fourth Proportional to 14,971.14, 22,460.96 and 7,574.22

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Solution

The fourth proportional to 14,971.14, 22,460.96 and 7,574.22 is: 11,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.14 : 22,460.96 = 7,574.22 : x
  2. Step 2: Convert to fraction form
    14,971.14/22,460.96 = 7,574.22/x
  3. Step 3: Cross multiply
    14,971.14x = 22,460.96 × 7,574.22
  4. Step 4: Simplify right side
    14,971.14x = 170,124,271.39
  5. Step 5: Solve for x
    x = 170,124,271.39/14,971.14
  6. Step 6: Final answer
    x = 11,363.48

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Double scale
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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.