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Finding the Fourth Proportional to 10,000.64, 13,798.98 and 6,022.01

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Solution

The fourth proportional to 10,000.64, 13,798.98 and 6,022.01 is: 8,309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.64 : 13,798.98 = 6,022.01 : x
  2. Step 2: Convert to fraction form
    10,000.64/13,798.98 = 6,022.01/x
  3. Step 3: Cross multiply
    10,000.64x = 13,798.98 × 6,022.01
  4. Step 4: Simplify right side
    10,000.64x = 83,097,595.55
  5. Step 5: Solve for x
    x = 83,097,595.55/10,000.64
  6. Step 6: Final answer
    x = 8,309.23

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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.