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Finding the Fourth Proportional to 6,345, 8,756.10 and 3,692.25

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Solution

The fourth proportional to 6,345, 8,756.10 and 3,692.25 is: 5,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345 : 8,756.10 = 3,692.25 : x
  2. Step 2: Convert to fraction form
    6,345/8,756.10 = 3,692.25/x
  3. Step 3: Cross multiply
    6,345x = 8,756.10 × 3,692.25
  4. Step 4: Simplify right side
    6,345x = 32,329,710.23
  5. Step 5: Solve for x
    x = 32,329,710.23/6,345
  6. Step 6: Final answer
    x = 5,095.31

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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.