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Finding the Fourth Proportional to 6,409.61, 9,602.86 and 6,023.62

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Solution

The fourth proportional to 6,409.61, 9,602.86 and 6,023.62 is: 9,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.61 : 9,602.86 = 6,023.62 : x
  2. Step 2: Convert to fraction form
    6,409.61/9,602.86 = 6,023.62/x
  3. Step 3: Cross multiply
    6,409.61x = 9,602.86 × 6,023.62
  4. Step 4: Simplify right side
    6,409.61x = 57,843,979.55
  5. Step 5: Solve for x
    x = 57,843,979.55/6,409.61
  6. Step 6: Final answer
    x = 9,024.57

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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.