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Finding the Fourth Proportional to 9,795.64, 13,507.14 and 6,963.88

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Solution

The fourth proportional to 9,795.64, 13,507.14 and 6,963.88 is: 9,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.64 : 13,507.14 = 6,963.88 : x
  2. Step 2: Convert to fraction form
    9,795.64/13,507.14 = 6,963.88/x
  3. Step 3: Cross multiply
    9,795.64x = 13,507.14 × 6,963.88
  4. Step 4: Simplify right side
    9,795.64x = 94,062,102.10
  5. Step 5: Solve for x
    x = 94,062,102.10/9,795.64
  6. Step 6: Final answer
    x = 9,602.45

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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.