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Finding the Fourth Proportional to 6,415.93, 8,849.82 and 4,530.25

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Solution

The fourth proportional to 6,415.93, 8,849.82 and 4,530.25 is: 6,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.93 : 8,849.82 = 4,530.25 : x
  2. Step 2: Convert to fraction form
    6,415.93/8,849.82 = 4,530.25/x
  3. Step 3: Cross multiply
    6,415.93x = 8,849.82 × 4,530.25
  4. Step 4: Simplify right side
    6,415.93x = 40,091,897.06
  5. Step 5: Solve for x
    x = 40,091,897.06/6,415.93
  6. Step 6: Final answer
    x = 6,248.81

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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.