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Finding the Fourth Proportional to 7,801.16, 11,701.63 and 1,957.76

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Solution

The fourth proportional to 7,801.16, 11,701.63 and 1,957.76 is: 2,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.16 : 11,701.63 = 1,957.76 : x
  2. Step 2: Convert to fraction form
    7,801.16/11,701.63 = 1,957.76/x
  3. Step 3: Cross multiply
    7,801.16x = 11,701.63 × 1,957.76
  4. Step 4: Simplify right side
    7,801.16x = 22,909,007.51
  5. Step 5: Solve for x
    x = 22,909,007.51/7,801.16
  6. Step 6: Final answer
    x = 2,936.62

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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.