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Finding the Fourth Proportional to 7,641.56, 10,545.63 and 4,284.38

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Solution

The fourth proportional to 7,641.56, 10,545.63 and 4,284.38 is: 5,912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.56 : 10,545.63 = 4,284.38 : x
  2. Step 2: Convert to fraction form
    7,641.56/10,545.63 = 4,284.38/x
  3. Step 3: Cross multiply
    7,641.56x = 10,545.63 × 4,284.38
  4. Step 4: Simplify right side
    7,641.56x = 45,181,486.26
  5. Step 5: Solve for x
    x = 45,181,486.26/7,641.56
  6. Step 6: Final answer
    x = 5,912.60

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Half scale
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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.