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Finding the Fourth Proportional to 7,029.76, 9,701.06 and 4,235.80

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Solution

The fourth proportional to 7,029.76, 9,701.06 and 4,235.80 is: 5,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.76 : 9,701.06 = 4,235.80 : x
  2. Step 2: Convert to fraction form
    7,029.76/9,701.06 = 4,235.80/x
  3. Step 3: Cross multiply
    7,029.76x = 9,701.06 × 4,235.80
  4. Step 4: Simplify right side
    7,029.76x = 41,091,749.95
  5. Step 5: Solve for x
    x = 41,091,749.95/7,029.76
  6. Step 6: Final answer
    x = 5,845.40

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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.