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Finding the Fourth Proportional to 9,826.66, 14,737.39 and 6,706.10

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Solution

The fourth proportional to 9,826.66, 14,737.39 and 6,706.10 is: 10,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.66 : 14,737.39 = 6,706.10 : x
  2. Step 2: Convert to fraction form
    9,826.66/14,737.39 = 6,706.10/x
  3. Step 3: Cross multiply
    9,826.66x = 14,737.39 × 6,706.10
  4. Step 4: Simplify right side
    9,826.66x = 98,830,431.16
  5. Step 5: Solve for x
    x = 98,830,431.16/9,826.66
  6. Step 6: Final answer
    x = 10,057.38

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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.