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Finding the Fourth Proportional to 9,499.70, 14,228.14 and 4,573.03

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Solution

The fourth proportional to 9,499.70, 14,228.14 and 4,573.03 is: 6,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.70 : 14,228.14 = 4,573.03 : x
  2. Step 2: Convert to fraction form
    9,499.70/14,228.14 = 4,573.03/x
  3. Step 3: Cross multiply
    9,499.70x = 14,228.14 × 4,573.03
  4. Step 4: Simplify right side
    9,499.70x = 65,065,699.31
  5. Step 5: Solve for x
    x = 65,065,699.31/9,499.70
  6. Step 6: Final answer
    x = 6,849.24

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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.