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Finding the Fourth Proportional to 7,034.82, 9,703.71 and 5,897.58

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Solution

The fourth proportional to 7,034.82, 9,703.71 and 5,897.58 is: 8,135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.82 : 9,703.71 = 5,897.58 : x
  2. Step 2: Convert to fraction form
    7,034.82/9,703.71 = 5,897.58/x
  3. Step 3: Cross multiply
    7,034.82x = 9,703.71 × 5,897.58
  4. Step 4: Simplify right side
    7,034.82x = 57,228,406.02
  5. Step 5: Solve for x
    x = 57,228,406.02/7,034.82
  6. Step 6: Final answer
    x = 8,135.02

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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.