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Finding the Fourth Proportional to 9,775.64, 14,659.88 and 3,534.15

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Solution

The fourth proportional to 9,775.64, 14,659.88 and 3,534.15 is: 5,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.64 : 14,659.88 = 3,534.15 : x
  2. Step 2: Convert to fraction form
    9,775.64/14,659.88 = 3,534.15/x
  3. Step 3: Cross multiply
    9,775.64x = 14,659.88 × 3,534.15
  4. Step 4: Simplify right side
    9,775.64x = 51,810,197.23
  5. Step 5: Solve for x
    x = 51,810,197.23/9,775.64
  6. Step 6: Final answer
    x = 5,299.93

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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.