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Finding the Fourth Proportional to 15,724.48, 23,578.18 and 7,809.63

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Solution

The fourth proportional to 15,724.48, 23,578.18 and 7,809.63 is: 11,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.48 : 23,578.18 = 7,809.63 : x
  2. Step 2: Convert to fraction form
    15,724.48/23,578.18 = 7,809.63/x
  3. Step 3: Cross multiply
    15,724.48x = 23,578.18 × 7,809.63
  4. Step 4: Simplify right side
    15,724.48x = 184,136,861.87
  5. Step 5: Solve for x
    x = 184,136,861.87/15,724.48
  6. Step 6: Final answer
    x = 11,710.20

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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.