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Finding the Fourth Proportional to 9,597.64, 14,393.68 and 4,052.24

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Solution

The fourth proportional to 9,597.64, 14,393.68 and 4,052.24 is: 6,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.64 : 14,393.68 = 4,052.24 : x
  2. Step 2: Convert to fraction form
    9,597.64/14,393.68 = 4,052.24/x
  3. Step 3: Cross multiply
    9,597.64x = 14,393.68 × 4,052.24
  4. Step 4: Simplify right side
    9,597.64x = 58,326,645.84
  5. Step 5: Solve for x
    x = 58,326,645.84/9,597.64
  6. Step 6: Final answer
    x = 6,077.19

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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.