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Finding the Fourth Proportional to 9,762.58, 13,463.14 and 6,408.30

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Solution

The fourth proportional to 9,762.58, 13,463.14 and 6,408.30 is: 8,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.58 : 13,463.14 = 6,408.30 : x
  2. Step 2: Convert to fraction form
    9,762.58/13,463.14 = 6,408.30/x
  3. Step 3: Cross multiply
    9,762.58x = 13,463.14 × 6,408.30
  4. Step 4: Simplify right side
    9,762.58x = 86,275,840.06
  5. Step 5: Solve for x
    x = 86,275,840.06/9,762.58
  6. Step 6: Final answer
    x = 8,837.40

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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.