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Finding the Fourth Proportional to 9,329.64, 13,971.48 and 6,032.64

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Solution

The fourth proportional to 9,329.64, 13,971.48 and 6,032.64 is: 9,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.64 : 13,971.48 = 6,032.64 : x
  2. Step 2: Convert to fraction form
    9,329.64/13,971.48 = 6,032.64/x
  3. Step 3: Cross multiply
    9,329.64x = 13,971.48 × 6,032.64
  4. Step 4: Simplify right side
    9,329.64x = 84,284,909.11
  5. Step 5: Solve for x
    x = 84,284,909.11/9,329.64
  6. Step 6: Final answer
    x = 9,034.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.