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Finding the Fourth Proportional to 6,957.70, 9,602.25 and 3,973.54

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Solution

The fourth proportional to 6,957.70, 9,602.25 and 3,973.54 is: 5,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.70 : 9,602.25 = 3,973.54 : x
  2. Step 2: Convert to fraction form
    6,957.70/9,602.25 = 3,973.54/x
  3. Step 3: Cross multiply
    6,957.70x = 9,602.25 × 3,973.54
  4. Step 4: Simplify right side
    6,957.70x = 38,154,924.47
  5. Step 5: Solve for x
    x = 38,154,924.47/6,957.70
  6. Step 6: Final answer
    x = 5,483.84

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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.