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Finding the Fourth Proportional to 7,032.96, 9,705.92 and 4,048.74

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Solution

The fourth proportional to 7,032.96, 9,705.92 and 4,048.74 is: 5,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.96 : 9,705.92 = 4,048.74 : x
  2. Step 2: Convert to fraction form
    7,032.96/9,705.92 = 4,048.74/x
  3. Step 3: Cross multiply
    7,032.96x = 9,705.92 × 4,048.74
  4. Step 4: Simplify right side
    7,032.96x = 39,296,746.54
  5. Step 5: Solve for x
    x = 39,296,746.54/7,032.96
  6. Step 6: Final answer
    x = 5,587.51

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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.