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Finding the Fourth Proportional to 7,092.98, 9,786.96 and 4,574.60

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Solution

The fourth proportional to 7,092.98, 9,786.96 and 4,574.60 is: 6,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.98 : 9,786.96 = 4,574.60 : x
  2. Step 2: Convert to fraction form
    7,092.98/9,786.96 = 4,574.60/x
  3. Step 3: Cross multiply
    7,092.98x = 9,786.96 × 4,574.60
  4. Step 4: Simplify right side
    7,092.98x = 44,771,427.22
  5. Step 5: Solve for x
    x = 44,771,427.22/7,092.98
  6. Step 6: Final answer
    x = 6,312.08

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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.