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Finding the Fourth Proportional to 9,334.64, 12,881.80 and 5,142.89

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Solution

The fourth proportional to 9,334.64, 12,881.80 and 5,142.89 is: 7,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.64 : 12,881.80 = 5,142.89 : x
  2. Step 2: Convert to fraction form
    9,334.64/12,881.80 = 5,142.89/x
  3. Step 3: Cross multiply
    9,334.64x = 12,881.80 × 5,142.89
  4. Step 4: Simplify right side
    9,334.64x = 66,249,680.40
  5. Step 5: Solve for x
    x = 66,249,680.40/9,334.64
  6. Step 6: Final answer
    x = 7,097.19

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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.