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Finding the Fourth Proportional to 10,409.65, 14,365.05 and 5,693.63

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Solution

The fourth proportional to 10,409.65, 14,365.05 and 5,693.63 is: 7,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.65 : 14,365.05 = 5,693.63 : x
  2. Step 2: Convert to fraction form
    10,409.65/14,365.05 = 5,693.63/x
  3. Step 3: Cross multiply
    10,409.65x = 14,365.05 × 5,693.63
  4. Step 4: Simplify right side
    10,409.65x = 81,789,186.46
  5. Step 5: Solve for x
    x = 81,789,186.46/10,409.65
  6. Step 6: Final answer
    x = 7,857.06

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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.