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Finding the Fourth Proportional to 9,573.12, 14,361.84 and 2,999.28

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Solution

The fourth proportional to 9,573.12, 14,361.84 and 2,999.28 is: 4,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.12 : 14,361.84 = 2,999.28 : x
  2. Step 2: Convert to fraction form
    9,573.12/14,361.84 = 2,999.28/x
  3. Step 3: Cross multiply
    9,573.12x = 14,361.84 × 2,999.28
  4. Step 4: Simplify right side
    9,573.12x = 43,075,179.48
  5. Step 5: Solve for x
    x = 43,075,179.48/9,573.12
  6. Step 6: Final answer
    x = 4,499.60

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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.