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Finding the Fourth Proportional to 10,666.65, 14,712.03 and 7,833.13

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Solution

The fourth proportional to 10,666.65, 14,712.03 and 7,833.13 is: 10,803.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.65 : 14,712.03 = 7,833.13 : x
  2. Step 2: Convert to fraction form
    10,666.65/14,712.03 = 7,833.13/x
  3. Step 3: Cross multiply
    10,666.65x = 14,712.03 × 7,833.13
  4. Step 4: Simplify right side
    10,666.65x = 115,241,243.55
  5. Step 5: Solve for x
    x = 115,241,243.55/10,666.65
  6. Step 6: Final answer
    x = 10,803.88

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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.