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Finding the Fourth Proportional to 7,648.77, 11,421.35 and 6,071.07

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Solution

The fourth proportional to 7,648.77, 11,421.35 and 6,071.07 is: 9,065.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.77 : 11,421.35 = 6,071.07 : x
  2. Step 2: Convert to fraction form
    7,648.77/11,421.35 = 6,071.07/x
  3. Step 3: Cross multiply
    7,648.77x = 11,421.35 × 6,071.07
  4. Step 4: Simplify right side
    7,648.77x = 69,339,784.99
  5. Step 5: Solve for x
    x = 69,339,784.99/7,648.77
  6. Step 6: Final answer
    x = 9,065.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.