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Finding the Fourth Proportional to 10,693.81, 15,927.94 and 10,214.08

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Solution

The fourth proportional to 10,693.81, 15,927.94 and 10,214.08 is: 15,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.81 : 15,927.94 = 10,214.08 : x
  2. Step 2: Convert to fraction form
    10,693.81/15,927.94 = 10,214.08/x
  3. Step 3: Cross multiply
    10,693.81x = 15,927.94 × 10,214.08
  4. Step 4: Simplify right side
    10,693.81x = 162,689,173.76
  5. Step 5: Solve for x
    x = 162,689,173.76/10,693.81
  6. Step 6: Final answer
    x = 15,213.40

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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.