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Finding the Fourth Proportional to 7,686.14, 10,607 and 4,542.32

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Solution

The fourth proportional to 7,686.14, 10,607 and 4,542.32 is: 6,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.14 : 10,607 = 4,542.32 : x
  2. Step 2: Convert to fraction form
    7,686.14/10,607 = 4,542.32/x
  3. Step 3: Cross multiply
    7,686.14x = 10,607 × 4,542.32
  4. Step 4: Simplify right side
    7,686.14x = 48,180,388.24
  5. Step 5: Solve for x
    x = 48,180,388.24/7,686.14
  6. Step 6: Final answer
    x = 6,268.48

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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.