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Finding the Fourth Proportional to 9,899.64, 13,661.64 and 5,423.58

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Solution

The fourth proportional to 9,899.64, 13,661.64 and 5,423.58 is: 7,484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.64 : 13,661.64 = 5,423.58 : x
  2. Step 2: Convert to fraction form
    9,899.64/13,661.64 = 5,423.58/x
  3. Step 3: Cross multiply
    9,899.64x = 13,661.64 × 5,423.58
  4. Step 4: Simplify right side
    9,899.64x = 74,094,997.47
  5. Step 5: Solve for x
    x = 74,094,997.47/9,899.64
  6. Step 6: Final answer
    x = 7,484.62

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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.