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Finding the Fourth Proportional to 6,530.04, 9,795 and 1,599.70

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Solution

The fourth proportional to 6,530.04, 9,795 and 1,599.70 is: 2,399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.04 : 9,795 = 1,599.70 : x
  2. Step 2: Convert to fraction form
    6,530.04/9,795 = 1,599.70/x
  3. Step 3: Cross multiply
    6,530.04x = 9,795 × 1,599.70
  4. Step 4: Simplify right side
    6,530.04x = 15,669,061.50
  5. Step 5: Solve for x
    x = 15,669,061.50/6,530.04
  6. Step 6: Final answer
    x = 2,399.54

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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.