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Finding the Fourth Proportional to 9,832.65, 14,746.40 and 6,712.08

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Solution

The fourth proportional to 9,832.65, 14,746.40 and 6,712.08 is: 10,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.65 : 14,746.40 = 6,712.08 : x
  2. Step 2: Convert to fraction form
    9,832.65/14,746.40 = 6,712.08/x
  3. Step 3: Cross multiply
    9,832.65x = 14,746.40 × 6,712.08
  4. Step 4: Simplify right side
    9,832.65x = 98,978,982.95
  5. Step 5: Solve for x
    x = 98,978,982.95/9,832.65
  6. Step 6: Final answer
    x = 10,066.36

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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.