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Finding the Fourth Proportional to 9,462.35, 12,963.48 and 9,107.64

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Solution

The fourth proportional to 9,462.35, 12,963.48 and 9,107.64 is: 12,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.35 : 12,963.48 = 9,107.64 : x
  2. Step 2: Convert to fraction form
    9,462.35/12,963.48 = 9,107.64/x
  3. Step 3: Cross multiply
    9,462.35x = 12,963.48 × 9,107.64
  4. Step 4: Simplify right side
    9,462.35x = 118,066,598.63
  5. Step 5: Solve for x
    x = 118,066,598.63/9,462.35
  6. Step 6: Final answer
    x = 12,477.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.