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Finding the Fourth Proportional to 4,894.07, 7,341.03 and 1,431.32

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Solution

The fourth proportional to 4,894.07, 7,341.03 and 1,431.32 is: 2,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.07 : 7,341.03 = 1,431.32 : x
  2. Step 2: Convert to fraction form
    4,894.07/7,341.03 = 1,431.32/x
  3. Step 3: Cross multiply
    4,894.07x = 7,341.03 × 1,431.32
  4. Step 4: Simplify right side
    4,894.07x = 10,507,326.35
  5. Step 5: Solve for x
    x = 10,507,326.35/4,894.07
  6. Step 6: Final answer
    x = 2,146.95

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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.