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Finding the Fourth Proportional to 9,794.64, 13,505.76 and 6,962.88

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Solution

The fourth proportional to 9,794.64, 13,505.76 and 6,962.88 is: 9,601.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.64 : 13,505.76 = 6,962.88 : x
  2. Step 2: Convert to fraction form
    9,794.64/13,505.76 = 6,962.88/x
  3. Step 3: Cross multiply
    9,794.64x = 13,505.76 × 6,962.88
  4. Step 4: Simplify right side
    9,794.64x = 94,038,986.19
  5. Step 5: Solve for x
    x = 94,038,986.19/9,794.64
  6. Step 6: Final answer
    x = 9,601.07

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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.