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Finding the Fourth Proportional to 10,461.51, 14,446.26 and 7,804.31

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Solution

The fourth proportional to 10,461.51, 14,446.26 and 7,804.31 is: 10,776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.51 : 14,446.26 = 7,804.31 : x
  2. Step 2: Convert to fraction form
    10,461.51/14,446.26 = 7,804.31/x
  3. Step 3: Cross multiply
    10,461.51x = 14,446.26 × 7,804.31
  4. Step 4: Simplify right side
    10,461.51x = 112,743,019.15
  5. Step 5: Solve for x
    x = 112,743,019.15/10,461.51
  6. Step 6: Final answer
    x = 10,776.94

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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.