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Finding the Fourth Proportional to 9,833.65, 14,676.19 and 9,167.05

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Solution

The fourth proportional to 9,833.65, 14,676.19 and 9,167.05 is: 13,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.65 : 14,676.19 = 9,167.05 : x
  2. Step 2: Convert to fraction form
    9,833.65/14,676.19 = 9,167.05/x
  3. Step 3: Cross multiply
    9,833.65x = 14,676.19 × 9,167.05
  4. Step 4: Simplify right side
    9,833.65x = 134,537,321.69
  5. Step 5: Solve for x
    x = 134,537,321.69/9,833.65
  6. Step 6: Final answer
    x = 13,681.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.