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Finding the Fourth Proportional to 9,341.77, 13,950.74 and 8,210

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Solution

The fourth proportional to 9,341.77, 13,950.74 and 8,210 is: 12,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.77 : 13,950.74 = 8,210 : x
  2. Step 2: Convert to fraction form
    9,341.77/13,950.74 = 8,210/x
  3. Step 3: Cross multiply
    9,341.77x = 13,950.74 × 8,210
  4. Step 4: Simplify right side
    9,341.77x = 114,535,534.35
  5. Step 5: Solve for x
    x = 114,535,534.35/9,341.77
  6. Step 6: Final answer
    x = 12,260.58

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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.