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Finding the Fourth Proportional to 13,699.53, 20,533.74 and 5,797.13

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Solution

The fourth proportional to 13,699.53, 20,533.74 and 5,797.13 is: 8,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.53 : 20,533.74 = 5,797.13 : x
  2. Step 2: Convert to fraction form
    13,699.53/20,533.74 = 5,797.13/x
  3. Step 3: Cross multiply
    13,699.53x = 20,533.74 × 5,797.13
  4. Step 4: Simplify right side
    13,699.53x = 119,036,657.50
  5. Step 5: Solve for x
    x = 119,036,657.50/13,699.53
  6. Step 6: Final answer
    x = 8,689.11

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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.