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Finding the Fourth Proportional to 9,783.02, 14,674.54 and 3,462.60

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Solution

The fourth proportional to 9,783.02, 14,674.54 and 3,462.60 is: 5,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.02 : 14,674.54 = 3,462.60 : x
  2. Step 2: Convert to fraction form
    9,783.02/14,674.54 = 3,462.60/x
  3. Step 3: Cross multiply
    9,783.02x = 14,674.54 × 3,462.60
  4. Step 4: Simplify right side
    9,783.02x = 50,812,062.20
  5. Step 5: Solve for x
    x = 50,812,062.20/9,783.02
  6. Step 6: Final answer
    x = 5,193.90

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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.