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Finding the Fourth Proportional to 10,059.81, 15,094.58 and 4,141.06

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Solution

The fourth proportional to 10,059.81, 15,094.58 and 4,141.06 is: 6,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.81 : 15,094.58 = 4,141.06 : x
  2. Step 2: Convert to fraction form
    10,059.81/15,094.58 = 4,141.06/x
  3. Step 3: Cross multiply
    10,059.81x = 15,094.58 × 4,141.06
  4. Step 4: Simplify right side
    10,059.81x = 62,507,561.45
  5. Step 5: Solve for x
    x = 62,507,561.45/10,059.81
  6. Step 6: Final answer
    x = 6,213.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.