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Finding the Fourth Proportional to 7,703.73, 10,595.88 and 6,349.82

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Solution

The fourth proportional to 7,703.73, 10,595.88 and 6,349.82 is: 8,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.73 : 10,595.88 = 6,349.82 : x
  2. Step 2: Convert to fraction form
    7,703.73/10,595.88 = 6,349.82/x
  3. Step 3: Cross multiply
    7,703.73x = 10,595.88 × 6,349.82
  4. Step 4: Simplify right side
    7,703.73x = 67,281,877.76
  5. Step 5: Solve for x
    x = 67,281,877.76/7,703.73
  6. Step 6: Final answer
    x = 8,733.68

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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.