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Finding the Fourth Proportional to 4,971, 7,352.44 and 4,971

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Solution

The fourth proportional to 4,971, 7,352.44 and 4,971 is: 7,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971 : 7,352.44 = 4,971 : x
  2. Step 2: Convert to fraction form
    4,971/7,352.44 = 4,971/x
  3. Step 3: Cross multiply
    4,971x = 7,352.44 × 4,971
  4. Step 4: Simplify right side
    4,971x = 36,548,979.24
  5. Step 5: Solve for x
    x = 36,548,979.24/4,971
  6. Step 6: Final answer
    x = 7,352.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.