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Finding the Fourth Proportional to 4,713.63, 7,070.30 and 1,203.63

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Solution

The fourth proportional to 4,713.63, 7,070.30 and 1,203.63 is: 1,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.63 : 7,070.30 = 1,203.63 : x
  2. Step 2: Convert to fraction form
    4,713.63/7,070.30 = 1,203.63/x
  3. Step 3: Cross multiply
    4,713.63x = 7,070.30 × 1,203.63
  4. Step 4: Simplify right side
    4,713.63x = 8,509,997.17
  5. Step 5: Solve for x
    x = 8,509,997.17/4,713.63
  6. Step 6: Final answer
    x = 1,805.40

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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.