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Finding the Fourth Proportional to 7,071.30, 9,914.40 and 7,071.30

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Solution

The fourth proportional to 7,071.30, 9,914.40 and 7,071.30 is: 9,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.30 : 9,914.40 = 7,071.30 : x
  2. Step 2: Convert to fraction form
    7,071.30/9,914.40 = 7,071.30/x
  3. Step 3: Cross multiply
    7,071.30x = 9,914.40 × 7,071.30
  4. Step 4: Simplify right side
    7,071.30x = 70,107,696.72
  5. Step 5: Solve for x
    x = 70,107,696.72/7,071.30
  6. Step 6: Final answer
    x = 9,914.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.