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Finding the Fourth Proportional to 6,875.71, 10,313.60 and 4,678.99

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Solution

The fourth proportional to 6,875.71, 10,313.60 and 4,678.99 is: 7,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.71 : 10,313.60 = 4,678.99 : x
  2. Step 2: Convert to fraction form
    6,875.71/10,313.60 = 4,678.99/x
  3. Step 3: Cross multiply
    6,875.71x = 10,313.60 × 4,678.99
  4. Step 4: Simplify right side
    6,875.71x = 48,257,182.09
  5. Step 5: Solve for x
    x = 48,257,182.09/6,875.71
  6. Step 6: Final answer
    x = 7,018.50

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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.