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Finding the Fourth Proportional to 7,964, 10,996.80 and 6,905.60

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Solution

The fourth proportional to 7,964, 10,996.80 and 6,905.60 is: 9,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964 : 10,996.80 = 6,905.60 : x
  2. Step 2: Convert to fraction form
    7,964/10,996.80 = 6,905.60/x
  3. Step 3: Cross multiply
    7,964x = 10,996.80 × 6,905.60
  4. Step 4: Simplify right side
    7,964x = 75,939,502.08
  5. Step 5: Solve for x
    x = 75,939,502.08/7,964
  6. Step 6: Final answer
    x = 9,535.35

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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.