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Finding the Fourth Proportional to 10,046.64, 15,069.90 and 4,200.06

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Solution

The fourth proportional to 10,046.64, 15,069.90 and 4,200.06 is: 6,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.64 : 15,069.90 = 4,200.06 : x
  2. Step 2: Convert to fraction form
    10,046.64/15,069.90 = 4,200.06/x
  3. Step 3: Cross multiply
    10,046.64x = 15,069.90 × 4,200.06
  4. Step 4: Simplify right side
    10,046.64x = 63,294,484.19
  5. Step 5: Solve for x
    x = 63,294,484.19/10,046.64
  6. Step 6: Final answer
    x = 6,300.06

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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.