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Finding the Fourth Proportional to 7,602.44, 11,405.75 and 3,657.00

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Solution

The fourth proportional to 7,602.44, 11,405.75 and 3,657.00 is: 5,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.44 : 11,405.75 = 3,657.00 : x
  2. Step 2: Convert to fraction form
    7,602.44/11,405.75 = 3,657.00/x
  3. Step 3: Cross multiply
    7,602.44x = 11,405.75 × 3,657.00
  4. Step 4: Simplify right side
    7,602.44x = 41,710,846.07
  5. Step 5: Solve for x
    x = 41,710,846.07/7,602.44
  6. Step 6: Final answer
    x = 5,486.50

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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.