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Finding the Fourth Proportional to 9,823.60, 13,542.24 and 7,461.64

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Solution

The fourth proportional to 9,823.60, 13,542.24 and 7,461.64 is: 10,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.60 : 13,542.24 = 7,461.64 : x
  2. Step 2: Convert to fraction form
    9,823.60/13,542.24 = 7,461.64/x
  3. Step 3: Cross multiply
    9,823.60x = 13,542.24 × 7,461.64
  4. Step 4: Simplify right side
    9,823.60x = 101,047,319.67
  5. Step 5: Solve for x
    x = 101,047,319.67/9,823.60
  6. Step 6: Final answer
    x = 10,286.18

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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.