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Finding the Fourth Proportional to 6,533.55, 9,793.02 and 2,830.23

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Solution

The fourth proportional to 6,533.55, 9,793.02 and 2,830.23 is: 4,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.55 : 9,793.02 = 2,830.23 : x
  2. Step 2: Convert to fraction form
    6,533.55/9,793.02 = 2,830.23/x
  3. Step 3: Cross multiply
    6,533.55x = 9,793.02 × 2,830.23
  4. Step 4: Simplify right side
    6,533.55x = 27,716,457.11
  5. Step 5: Solve for x
    x = 27,716,457.11/6,533.55
  6. Step 6: Final answer
    x = 4,242.18

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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.