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Finding the Fourth Proportional to 10,541, 14,545.48 and 6,065.12

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Solution

The fourth proportional to 10,541, 14,545.48 and 6,065.12 is: 8,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541 : 14,545.48 = 6,065.12 : x
  2. Step 2: Convert to fraction form
    10,541/14,545.48 = 6,065.12/x
  3. Step 3: Cross multiply
    10,541x = 14,545.48 × 6,065.12
  4. Step 4: Simplify right side
    10,541x = 88,220,081.66
  5. Step 5: Solve for x
    x = 88,220,081.66/10,541
  6. Step 6: Final answer
    x = 8,369.23

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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.