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Finding the Fourth Proportional to 9,446, 13,035.48 and 5,254.16

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Solution

The fourth proportional to 9,446, 13,035.48 and 5,254.16 is: 7,250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446 : 13,035.48 = 5,254.16 : x
  2. Step 2: Convert to fraction form
    9,446/13,035.48 = 5,254.16/x
  3. Step 3: Cross multiply
    9,446x = 13,035.48 × 5,254.16
  4. Step 4: Simplify right side
    9,446x = 68,490,497.60
  5. Step 5: Solve for x
    x = 68,490,497.60/9,446
  6. Step 6: Final answer
    x = 7,250.74

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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.