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Finding the Fourth Proportional to 7,447, 10,274.34 and 4,302.04

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Solution

The fourth proportional to 7,447, 10,274.34 and 4,302.04 is: 5,935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447 : 10,274.34 = 4,302.04 : x
  2. Step 2: Convert to fraction form
    7,447/10,274.34 = 4,302.04/x
  3. Step 3: Cross multiply
    7,447x = 10,274.34 × 4,302.04
  4. Step 4: Simplify right side
    7,447x = 44,200,621.65
  5. Step 5: Solve for x
    x = 44,200,621.65/7,447
  6. Step 6: Final answer
    x = 5,935.36

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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.