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Finding the Fourth Proportional to 9,805.67, 14,703.64 and 4,182.46

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Solution

The fourth proportional to 9,805.67, 14,703.64 and 4,182.46 is: 6,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.67 : 14,703.64 = 4,182.46 : x
  2. Step 2: Convert to fraction form
    9,805.67/14,703.64 = 4,182.46/x
  3. Step 3: Cross multiply
    9,805.67x = 14,703.64 × 4,182.46
  4. Step 4: Simplify right side
    9,805.67x = 61,497,386.15
  5. Step 5: Solve for x
    x = 61,497,386.15/9,805.67
  6. Step 6: Final answer
    x = 6,271.61

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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.