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Finding the Fourth Proportional to 30,816.76, 46,230.84 and 9,762.10

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Solution

The fourth proportional to 30,816.76, 46,230.84 and 9,762.10 is: 14,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816.76 : 46,230.84 = 9,762.10 : x
  2. Step 2: Convert to fraction form
    30,816.76/46,230.84 = 9,762.10/x
  3. Step 3: Cross multiply
    30,816.76x = 46,230.84 × 9,762.10
  4. Step 4: Simplify right side
    30,816.76x = 451,310,083.16
  5. Step 5: Solve for x
    x = 451,310,083.16/30,816.76
  6. Step 6: Final answer
    x = 14,644.96

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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.