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Finding the Fourth Proportional to 9,832.34, 14,739.06 and 6,312.50

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Solution

The fourth proportional to 9,832.34, 14,739.06 and 6,312.50 is: 9,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.34 : 14,739.06 = 6,312.50 : x
  2. Step 2: Convert to fraction form
    9,832.34/14,739.06 = 6,312.50/x
  3. Step 3: Cross multiply
    9,832.34x = 14,739.06 × 6,312.50
  4. Step 4: Simplify right side
    9,832.34x = 93,040,316.25
  5. Step 5: Solve for x
    x = 93,040,316.25/9,832.34
  6. Step 6: Final answer
    x = 9,462.68

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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.