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Finding the Fourth Proportional to 7,693.94, 10,605.16 and 6,012.40

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Solution

The fourth proportional to 7,693.94, 10,605.16 and 6,012.40 is: 8,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.94 : 10,605.16 = 6,012.40 : x
  2. Step 2: Convert to fraction form
    7,693.94/10,605.16 = 6,012.40/x
  3. Step 3: Cross multiply
    7,693.94x = 10,605.16 × 6,012.40
  4. Step 4: Simplify right side
    7,693.94x = 63,762,463.98
  5. Step 5: Solve for x
    x = 63,762,463.98/7,693.94
  6. Step 6: Final answer
    x = 8,287.36

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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.