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Finding the Fourth Proportional to 30,813.53, 46,223.54 and 9,756.48

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Solution

The fourth proportional to 30,813.53, 46,223.54 and 9,756.48 is: 14,635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.53 : 46,223.54 = 9,756.48 : x
  2. Step 2: Convert to fraction form
    30,813.53/46,223.54 = 9,756.48/x
  3. Step 3: Cross multiply
    30,813.53x = 46,223.54 × 9,756.48
  4. Step 4: Simplify right side
    30,813.53x = 450,979,043.54
  5. Step 5: Solve for x
    x = 450,979,043.54/30,813.53
  6. Step 6: Final answer
    x = 14,635.75

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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.