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Finding the Fourth Proportional to 7,446, 10,284.12 and 4,957.68

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Solution

The fourth proportional to 7,446, 10,284.12 and 4,957.68 is: 6,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446 : 10,284.12 = 4,957.68 : x
  2. Step 2: Convert to fraction form
    7,446/10,284.12 = 4,957.68/x
  3. Step 3: Cross multiply
    7,446x = 10,284.12 × 4,957.68
  4. Step 4: Simplify right side
    7,446x = 50,985,376.04
  5. Step 5: Solve for x
    x = 50,985,376.04/7,446
  6. Step 6: Final answer
    x = 6,847.35

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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.