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Finding the Fourth Proportional to 6,523.03, 9,784.51 and 1,592.69

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Solution

The fourth proportional to 6,523.03, 9,784.51 and 1,592.69 is: 2,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.03 : 9,784.51 = 1,592.69 : x
  2. Step 2: Convert to fraction form
    6,523.03/9,784.51 = 1,592.69/x
  3. Step 3: Cross multiply
    6,523.03x = 9,784.51 × 1,592.69
  4. Step 4: Simplify right side
    6,523.03x = 15,583,711.71
  5. Step 5: Solve for x
    x = 15,583,711.71/6,523.03
  6. Step 6: Final answer
    x = 2,389.03

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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.