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Finding the Fourth Proportional to 10,023.93, 13,829.28 and 7,724.99

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Solution

The fourth proportional to 10,023.93, 13,829.28 and 7,724.99 is: 10,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.93 : 13,829.28 = 7,724.99 : x
  2. Step 2: Convert to fraction form
    10,023.93/13,829.28 = 7,724.99/x
  3. Step 3: Cross multiply
    10,023.93x = 13,829.28 × 7,724.99
  4. Step 4: Simplify right side
    10,023.93x = 106,830,980.56
  5. Step 5: Solve for x
    x = 106,830,980.56/10,023.93
  6. Step 6: Final answer
    x = 10,657.60

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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.