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Finding the Fourth Proportional to 9,854.66, 13,576.32 and 6,865.08

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Solution

The fourth proportional to 9,854.66, 13,576.32 and 6,865.08 is: 9,457.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.66 : 13,576.32 = 6,865.08 : x
  2. Step 2: Convert to fraction form
    9,854.66/13,576.32 = 6,865.08/x
  3. Step 3: Cross multiply
    9,854.66x = 13,576.32 × 6,865.08
  4. Step 4: Simplify right side
    9,854.66x = 93,202,522.91
  5. Step 5: Solve for x
    x = 93,202,522.91/9,854.66
  6. Step 6: Final answer
    x = 9,457.71

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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.