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Finding the Fourth Proportional to 9,274.10, 13,904.76 and 4,894.63

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Solution

The fourth proportional to 9,274.10, 13,904.76 and 4,894.63 is: 7,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.10 : 13,904.76 = 4,894.63 : x
  2. Step 2: Convert to fraction form
    9,274.10/13,904.76 = 4,894.63/x
  3. Step 3: Cross multiply
    9,274.10x = 13,904.76 × 4,894.63
  4. Step 4: Simplify right side
    9,274.10x = 68,058,639.03
  5. Step 5: Solve for x
    x = 68,058,639.03/9,274.10
  6. Step 6: Final answer
    x = 7,338.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.