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Finding the Fourth Proportional to 14,847.40, 22,271.10 and 7,071.40

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Solution

The fourth proportional to 14,847.40, 22,271.10 and 7,071.40 is: 10,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,847.40 : 22,271.10 = 7,071.40 : x
  2. Step 2: Convert to fraction form
    14,847.40/22,271.10 = 7,071.40/x
  3. Step 3: Cross multiply
    14,847.40x = 22,271.10 × 7,071.40
  4. Step 4: Simplify right side
    14,847.40x = 157,487,856.54
  5. Step 5: Solve for x
    x = 157,487,856.54/14,847.40
  6. Step 6: Final answer
    x = 10,607.10

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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.