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Finding the Fourth Proportional to 4,194.79, 6,292.79 and 1,562.08

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Solution

The fourth proportional to 4,194.79, 6,292.79 and 1,562.08 is: 2,343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.79 : 6,292.79 = 1,562.08 : x
  2. Step 2: Convert to fraction form
    4,194.79/6,292.79 = 1,562.08/x
  3. Step 3: Cross multiply
    4,194.79x = 6,292.79 × 1,562.08
  4. Step 4: Simplify right side
    4,194.79x = 9,829,841.40
  5. Step 5: Solve for x
    x = 9,829,841.40/4,194.79
  6. Step 6: Final answer
    x = 2,343.35

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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.