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Finding the Fourth Proportional to 7,174.08, 9,905.76 and 5,783.04

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Solution

The fourth proportional to 7,174.08, 9,905.76 and 5,783.04 is: 7,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.08 : 9,905.76 = 5,783.04 : x
  2. Step 2: Convert to fraction form
    7,174.08/9,905.76 = 5,783.04/x
  3. Step 3: Cross multiply
    7,174.08x = 9,905.76 × 5,783.04
  4. Step 4: Simplify right side
    7,174.08x = 57,285,406.31
  5. Step 5: Solve for x
    x = 57,285,406.31/7,174.08
  6. Step 6: Final answer
    x = 7,985.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.