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Finding the Fourth Proportional to 10,605.76, 15,904.27 and 4,602.22

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Solution

The fourth proportional to 10,605.76, 15,904.27 and 4,602.22 is: 6,901.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.76 : 15,904.27 = 4,602.22 : x
  2. Step 2: Convert to fraction form
    10,605.76/15,904.27 = 4,602.22/x
  3. Step 3: Cross multiply
    10,605.76x = 15,904.27 × 4,602.22
  4. Step 4: Simplify right side
    10,605.76x = 73,194,898.21
  5. Step 5: Solve for x
    x = 73,194,898.21/10,605.76
  6. Step 6: Final answer
    x = 6,901.43

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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.