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Finding the Fourth Proportional to 6,564.79, 9,858.93 and 6,300.53

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Solution

The fourth proportional to 6,564.79, 9,858.93 and 6,300.53 is: 9,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.79 : 9,858.93 = 6,300.53 : x
  2. Step 2: Convert to fraction form
    6,564.79/9,858.93 = 6,300.53/x
  3. Step 3: Cross multiply
    6,564.79x = 9,858.93 × 6,300.53
  4. Step 4: Simplify right side
    6,564.79x = 62,116,403.44
  5. Step 5: Solve for x
    x = 62,116,403.44/6,564.79
  6. Step 6: Final answer
    x = 9,462.06

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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.