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Finding the Fourth Proportional to 6,973.63, 10,478.55 and 6,518.06

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Solution

The fourth proportional to 6,973.63, 10,478.55 and 6,518.06 is: 9,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.63 : 10,478.55 = 6,518.06 : x
  2. Step 2: Convert to fraction form
    6,973.63/10,478.55 = 6,518.06/x
  3. Step 3: Cross multiply
    6,973.63x = 10,478.55 × 6,518.06
  4. Step 4: Simplify right side
    6,973.63x = 68,299,858.43
  5. Step 5: Solve for x
    x = 68,299,858.43/6,973.63
  6. Step 6: Final answer
    x = 9,794.02

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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.