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Finding the Fourth Proportional to 10,356.97, 15,529.22 and 4,656.89

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Solution

The fourth proportional to 10,356.97, 15,529.22 and 4,656.89 is: 6,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.97 : 15,529.22 = 4,656.89 : x
  2. Step 2: Convert to fraction form
    10,356.97/15,529.22 = 4,656.89/x
  3. Step 3: Cross multiply
    10,356.97x = 15,529.22 × 4,656.89
  4. Step 4: Simplify right side
    10,356.97x = 72,317,803.32
  5. Step 5: Solve for x
    x = 72,317,803.32/10,356.97
  6. Step 6: Final answer
    x = 6,982.52

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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.