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Finding the Fourth Proportional to 7,070.48, 9,741.73 and 5,270.30

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Solution

The fourth proportional to 7,070.48, 9,741.73 and 5,270.30 is: 7,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.48 : 9,741.73 = 5,270.30 : x
  2. Step 2: Convert to fraction form
    7,070.48/9,741.73 = 5,270.30/x
  3. Step 3: Cross multiply
    7,070.48x = 9,741.73 × 5,270.30
  4. Step 4: Simplify right side
    7,070.48x = 51,341,839.62
  5. Step 5: Solve for x
    x = 51,341,839.62/7,070.48
  6. Step 6: Final answer
    x = 7,261.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.