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Finding the Fourth Proportional to 7,832.76, 10,809.18 and 4,848

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Solution

The fourth proportional to 7,832.76, 10,809.18 and 4,848 is: 6,690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.76 : 10,809.18 = 4,848 : x
  2. Step 2: Convert to fraction form
    7,832.76/10,809.18 = 4,848/x
  3. Step 3: Cross multiply
    7,832.76x = 10,809.18 × 4,848
  4. Step 4: Simplify right side
    7,832.76x = 52,402,904.64
  5. Step 5: Solve for x
    x = 52,402,904.64/7,832.76
  6. Step 6: Final answer
    x = 6,690.22

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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.