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Finding the Fourth Proportional to 8,000.70, 11,041.64 and 4,415.99

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Solution

The fourth proportional to 8,000.70, 11,041.64 and 4,415.99 is: 6,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.70 : 11,041.64 = 4,415.99 : x
  2. Step 2: Convert to fraction form
    8,000.70/11,041.64 = 4,415.99/x
  3. Step 3: Cross multiply
    8,000.70x = 11,041.64 × 4,415.99
  4. Step 4: Simplify right side
    8,000.70x = 48,759,746.81
  5. Step 5: Solve for x
    x = 48,759,746.81/8,000.70
  6. Step 6: Final answer
    x = 6,094.43

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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.