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Finding the Fourth Proportional to 7,032.64, 9,705.12 and 3,888.64

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Solution

The fourth proportional to 7,032.64, 9,705.12 and 3,888.64 is: 5,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.64 : 9,705.12 = 3,888.64 : x
  2. Step 2: Convert to fraction form
    7,032.64/9,705.12 = 3,888.64/x
  3. Step 3: Cross multiply
    7,032.64x = 9,705.12 × 3,888.64
  4. Step 4: Simplify right side
    7,032.64x = 37,739,717.84
  5. Step 5: Solve for x
    x = 37,739,717.84/7,032.64
  6. Step 6: Final answer
    x = 5,366.37

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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.