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Finding the Fourth Proportional to 9,660.16, 14,374.85 and 9,627.40

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Solution

The fourth proportional to 9,660.16, 14,374.85 and 9,627.40 is: 14,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.16 : 14,374.85 = 9,627.40 : x
  2. Step 2: Convert to fraction form
    9,660.16/14,374.85 = 9,627.40/x
  3. Step 3: Cross multiply
    9,660.16x = 14,374.85 × 9,627.40
  4. Step 4: Simplify right side
    9,660.16x = 138,392,430.89
  5. Step 5: Solve for x
    x = 138,392,430.89/9,660.16
  6. Step 6: Final answer
    x = 14,326.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.