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Finding the Fourth Proportional to 10,299.17, 15,316.26 and 9,971.12

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Solution

The fourth proportional to 10,299.17, 15,316.26 and 9,971.12 is: 14,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.17 : 15,316.26 = 9,971.12 : x
  2. Step 2: Convert to fraction form
    10,299.17/15,316.26 = 9,971.12/x
  3. Step 3: Cross multiply
    10,299.17x = 15,316.26 × 9,971.12
  4. Step 4: Simplify right side
    10,299.17x = 152,720,216.56
  5. Step 5: Solve for x
    x = 152,720,216.56/10,299.17
  6. Step 6: Final answer
    x = 14,828.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.