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Finding the Fourth Proportional to 7,551.64, 10,421.13 and 4,194.46

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Solution

The fourth proportional to 7,551.64, 10,421.13 and 4,194.46 is: 5,788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.64 : 10,421.13 = 4,194.46 : x
  2. Step 2: Convert to fraction form
    7,551.64/10,421.13 = 4,194.46/x
  3. Step 3: Cross multiply
    7,551.64x = 10,421.13 × 4,194.46
  4. Step 4: Simplify right side
    7,551.64x = 43,711,012.94
  5. Step 5: Solve for x
    x = 43,711,012.94/7,551.64
  6. Step 6: Final answer
    x = 5,788.28

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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.