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Finding the Fourth Proportional to 7,146.51, 9,862.74 and 4,003.17

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Solution

The fourth proportional to 7,146.51, 9,862.74 and 4,003.17 is: 5,524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.51 : 9,862.74 = 4,003.17 : x
  2. Step 2: Convert to fraction form
    7,146.51/9,862.74 = 4,003.17/x
  3. Step 3: Cross multiply
    7,146.51x = 9,862.74 × 4,003.17
  4. Step 4: Simplify right side
    7,146.51x = 39,482,224.89
  5. Step 5: Solve for x
    x = 39,482,224.89/7,146.51
  6. Step 6: Final answer
    x = 5,524.69

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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.