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Finding the Fourth Proportional to 7,102.01, 9,798.03 and 4,117.30

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Solution

The fourth proportional to 7,102.01, 9,798.03 and 4,117.30 is: 5,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.01 : 9,798.03 = 4,117.30 : x
  2. Step 2: Convert to fraction form
    7,102.01/9,798.03 = 4,117.30/x
  3. Step 3: Cross multiply
    7,102.01x = 9,798.03 × 4,117.30
  4. Step 4: Simplify right side
    7,102.01x = 40,341,404.42
  5. Step 5: Solve for x
    x = 40,341,404.42/7,102.01
  6. Step 6: Final answer
    x = 5,680.28

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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.