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Finding the Fourth Proportional to 10,409.50, 14,365.11 and 7,267.51

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Solution

The fourth proportional to 10,409.50, 14,365.11 and 7,267.51 is: 10,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.50 : 14,365.11 = 7,267.51 : x
  2. Step 2: Convert to fraction form
    10,409.50/14,365.11 = 7,267.51/x
  3. Step 3: Cross multiply
    10,409.50x = 14,365.11 × 7,267.51
  4. Step 4: Simplify right side
    10,409.50x = 104,398,580.58
  5. Step 5: Solve for x
    x = 104,398,580.58/10,409.50
  6. Step 6: Final answer
    x = 10,029.16

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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.