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Finding the Fourth Proportional to 6,322.50, 9,483.76 and 1,705.50

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Solution

The fourth proportional to 6,322.50, 9,483.76 and 1,705.50 is: 2,558.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.50 : 9,483.76 = 1,705.50 : x
  2. Step 2: Convert to fraction form
    6,322.50/9,483.76 = 1,705.50/x
  3. Step 3: Cross multiply
    6,322.50x = 9,483.76 × 1,705.50
  4. Step 4: Simplify right side
    6,322.50x = 16,174,552.68
  5. Step 5: Solve for x
    x = 16,174,552.68/6,322.50
  6. Step 6: Final answer
    x = 2,558.25

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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.