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Finding the Fourth Proportional to 7,693.88, 10,618.10 and 5,802.12

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Solution

The fourth proportional to 7,693.88, 10,618.10 and 5,802.12 is: 8,007.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.88 : 10,618.10 = 5,802.12 : x
  2. Step 2: Convert to fraction form
    7,693.88/10,618.10 = 5,802.12/x
  3. Step 3: Cross multiply
    7,693.88x = 10,618.10 × 5,802.12
  4. Step 4: Simplify right side
    7,693.88x = 61,607,490.37
  5. Step 5: Solve for x
    x = 61,607,490.37/7,693.88
  6. Step 6: Final answer
    x = 8,007.34

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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.