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Finding the Fourth Proportional to 7,134.52, 9,849.94 and 4,654.84

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Solution

The fourth proportional to 7,134.52, 9,849.94 and 4,654.84 is: 6,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.52 : 9,849.94 = 4,654.84 : x
  2. Step 2: Convert to fraction form
    7,134.52/9,849.94 = 4,654.84/x
  3. Step 3: Cross multiply
    7,134.52x = 9,849.94 × 4,654.84
  4. Step 4: Simplify right side
    7,134.52x = 45,849,894.71
  5. Step 5: Solve for x
    x = 45,849,894.71/7,134.52
  6. Step 6: Final answer
    x = 6,426.49

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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.