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Finding the Fourth Proportional to 6,523.29, 9,784.94 and 1,592.93

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Solution

The fourth proportional to 6,523.29, 9,784.94 and 1,592.93 is: 2,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.29 : 9,784.94 = 1,592.93 : x
  2. Step 2: Convert to fraction form
    6,523.29/9,784.94 = 1,592.93/x
  3. Step 3: Cross multiply
    6,523.29x = 9,784.94 × 1,592.93
  4. Step 4: Simplify right side
    6,523.29x = 15,586,740.97
  5. Step 5: Solve for x
    x = 15,586,740.97/6,523.29
  6. Step 6: Final answer
    x = 2,389.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.