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Finding the Fourth Proportional to 9,377.60, 12,954.36 and 7,501.64

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Solution

The fourth proportional to 9,377.60, 12,954.36 and 7,501.64 is: 10,362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.60 : 12,954.36 = 7,501.64 : x
  2. Step 2: Convert to fraction form
    9,377.60/12,954.36 = 7,501.64/x
  3. Step 3: Cross multiply
    9,377.60x = 12,954.36 × 7,501.64
  4. Step 4: Simplify right side
    9,377.60x = 97,178,945.15
  5. Step 5: Solve for x
    x = 97,178,945.15/9,377.60
  6. Step 6: Final answer
    x = 10,362.88

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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.