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Finding the Fourth Proportional to 9,602.40, 14,409.12 and 5,220.24

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Solution

The fourth proportional to 9,602.40, 14,409.12 and 5,220.24 is: 7,833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.40 : 14,409.12 = 5,220.24 : x
  2. Step 2: Convert to fraction form
    9,602.40/14,409.12 = 5,220.24/x
  3. Step 3: Cross multiply
    9,602.40x = 14,409.12 × 5,220.24
  4. Step 4: Simplify right side
    9,602.40x = 75,219,064.59
  5. Step 5: Solve for x
    x = 75,219,064.59/9,602.40
  6. Step 6: Final answer
    x = 7,833.36

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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.