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Finding the Fourth Proportional to 14,465.89, 21,695.07 and 6,141.62

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Solution

The fourth proportional to 14,465.89, 21,695.07 and 6,141.62 is: 9,210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.89 : 21,695.07 = 6,141.62 : x
  2. Step 2: Convert to fraction form
    14,465.89/21,695.07 = 6,141.62/x
  3. Step 3: Cross multiply
    14,465.89x = 21,695.07 × 6,141.62
  4. Step 4: Simplify right side
    14,465.89x = 133,242,953.08
  5. Step 5: Solve for x
    x = 133,242,953.08/14,465.89
  6. Step 6: Final answer
    x = 9,210.84

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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.