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Finding the Fourth Proportional to 5,663.78, 7,816.02 and 3,307.46

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Solution

The fourth proportional to 5,663.78, 7,816.02 and 3,307.46 is: 4,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.78 : 7,816.02 = 3,307.46 : x
  2. Step 2: Convert to fraction form
    5,663.78/7,816.02 = 3,307.46/x
  3. Step 3: Cross multiply
    5,663.78x = 7,816.02 × 3,307.46
  4. Step 4: Simplify right side
    5,663.78x = 25,851,173.51
  5. Step 5: Solve for x
    x = 25,851,173.51/5,663.78
  6. Step 6: Final answer
    x = 4,564.30

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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.