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Finding the Fourth Proportional to 6,409.61, 9,622.72 and 6,146.36

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Solution

The fourth proportional to 6,409.61, 9,622.72 and 6,146.36 is: 9,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.61 : 9,622.72 = 6,146.36 : x
  2. Step 2: Convert to fraction form
    6,409.61/9,622.72 = 6,146.36/x
  3. Step 3: Cross multiply
    6,409.61x = 9,622.72 × 6,146.36
  4. Step 4: Simplify right side
    6,409.61x = 59,144,701.30
  5. Step 5: Solve for x
    x = 59,144,701.30/6,409.61
  6. Step 6: Final answer
    x = 9,227.50

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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.