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Finding the Fourth Proportional to 9,364.80, 12,918.56 and 6,977.28

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Solution

The fourth proportional to 9,364.80, 12,918.56 and 6,977.28 is: 9,625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.80 : 12,918.56 = 6,977.28 : x
  2. Step 2: Convert to fraction form
    9,364.80/12,918.56 = 6,977.28/x
  3. Step 3: Cross multiply
    9,364.80x = 12,918.56 × 6,977.28
  4. Step 4: Simplify right side
    9,364.80x = 90,136,410.32
  5. Step 5: Solve for x
    x = 90,136,410.32/9,364.80
  6. Step 6: Final answer
    x = 9,625.02

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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.