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Finding the Fourth Proportional to 7,391, 10,199.48 and 4,033.74

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Solution

The fourth proportional to 7,391, 10,199.48 and 4,033.74 is: 5,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391 : 10,199.48 = 4,033.74 : x
  2. Step 2: Convert to fraction form
    7,391/10,199.48 = 4,033.74/x
  3. Step 3: Cross multiply
    7,391x = 10,199.48 × 4,033.74
  4. Step 4: Simplify right side
    7,391x = 41,142,050.46
  5. Step 5: Solve for x
    x = 41,142,050.46/7,391
  6. Step 6: Final answer
    x = 5,566.51

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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.