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Finding the Fourth Proportional to 10,529.50, 14,530.74 and 5,813.74

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Solution

The fourth proportional to 10,529.50, 14,530.74 and 5,813.74 is: 8,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.50 : 14,530.74 = 5,813.74 : x
  2. Step 2: Convert to fraction form
    10,529.50/14,530.74 = 5,813.74/x
  3. Step 3: Cross multiply
    10,529.50x = 14,530.74 × 5,813.74
  4. Step 4: Simplify right side
    10,529.50x = 84,477,944.37
  5. Step 5: Solve for x
    x = 84,477,944.37/10,529.50
  6. Step 6: Final answer
    x = 8,022.98

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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.