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Finding the Fourth Proportional to 7,832.54, 10,802.62 and 6,886.31

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Solution

The fourth proportional to 7,832.54, 10,802.62 and 6,886.31 is: 9,497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.54 : 10,802.62 = 6,886.31 : x
  2. Step 2: Convert to fraction form
    7,832.54/10,802.62 = 6,886.31/x
  3. Step 3: Cross multiply
    7,832.54x = 10,802.62 × 6,886.31
  4. Step 4: Simplify right side
    7,832.54x = 74,390,155.70
  5. Step 5: Solve for x
    x = 74,390,155.70/7,832.54
  6. Step 6: Final answer
    x = 9,497.58

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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.