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Finding the Fourth Proportional to 6,470.94, 8,918.06 and 4,699.47

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Solution

The fourth proportional to 6,470.94, 8,918.06 and 4,699.47 is: 6,476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.94 : 8,918.06 = 4,699.47 : x
  2. Step 2: Convert to fraction form
    6,470.94/8,918.06 = 4,699.47/x
  3. Step 3: Cross multiply
    6,470.94x = 8,918.06 × 4,699.47
  4. Step 4: Simplify right side
    6,470.94x = 41,910,131.93
  5. Step 5: Solve for x
    x = 41,910,131.93/6,470.94
  6. Step 6: Final answer
    x = 6,476.67

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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.