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Finding the Fourth Proportional to 10,605.63, 14,635.10 and 6,128.66

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Solution

The fourth proportional to 10,605.63, 14,635.10 and 6,128.66 is: 8,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.63 : 14,635.10 = 6,128.66 : x
  2. Step 2: Convert to fraction form
    10,605.63/14,635.10 = 6,128.66/x
  3. Step 3: Cross multiply
    10,605.63x = 14,635.10 × 6,128.66
  4. Step 4: Simplify right side
    10,605.63x = 89,693,448.15
  5. Step 5: Solve for x
    x = 89,693,448.15/10,605.63
  6. Step 6: Final answer
    x = 8,457.15

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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.