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Finding the Fourth Proportional to 7,814.92, 10,783.14 and 4,670.44

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Solution

The fourth proportional to 7,814.92, 10,783.14 and 4,670.44 is: 6,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.92 : 10,783.14 = 4,670.44 : x
  2. Step 2: Convert to fraction form
    7,814.92/10,783.14 = 4,670.44/x
  3. Step 3: Cross multiply
    7,814.92x = 10,783.14 × 4,670.44
  4. Step 4: Simplify right side
    7,814.92x = 50,362,008.38
  5. Step 5: Solve for x
    x = 50,362,008.38/7,814.92
  6. Step 6: Final answer
    x = 6,444.34

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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.