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Finding the Fourth Proportional to 9,449.64, 14,174.64 and 2,875.50

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Solution

The fourth proportional to 9,449.64, 14,174.64 and 2,875.50 is: 4,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.64 : 14,174.64 = 2,875.50 : x
  2. Step 2: Convert to fraction form
    9,449.64/14,174.64 = 2,875.50/x
  3. Step 3: Cross multiply
    9,449.64x = 14,174.64 × 2,875.50
  4. Step 4: Simplify right side
    9,449.64x = 40,759,177.32
  5. Step 5: Solve for x
    x = 40,759,177.32/9,449.64
  6. Step 6: Final answer
    x = 4,313.30

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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.