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Finding the Fourth Proportional to 7,857.84, 10,844.46 and 4,501.74

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Solution

The fourth proportional to 7,857.84, 10,844.46 and 4,501.74 is: 6,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.84 : 10,844.46 = 4,501.74 : x
  2. Step 2: Convert to fraction form
    7,857.84/10,844.46 = 4,501.74/x
  3. Step 3: Cross multiply
    7,857.84x = 10,844.46 × 4,501.74
  4. Step 4: Simplify right side
    7,857.84x = 48,818,939.36
  5. Step 5: Solve for x
    x = 48,818,939.36/7,857.84
  6. Step 6: Final answer
    x = 6,212.77

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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.