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Finding the Fourth Proportional to 9,913.46, 13,677.04 and 5,661.46

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Solution

The fourth proportional to 9,913.46, 13,677.04 and 5,661.46 is: 7,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.46 : 13,677.04 = 5,661.46 : x
  2. Step 2: Convert to fraction form
    9,913.46/13,677.04 = 5,661.46/x
  3. Step 3: Cross multiply
    9,913.46x = 13,677.04 × 5,661.46
  4. Step 4: Simplify right side
    9,913.46x = 77,432,014.88
  5. Step 5: Solve for x
    x = 77,432,014.88/9,913.46
  6. Step 6: Final answer
    x = 7,810.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.