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Finding the Fourth Proportional to 9,597.58, 14,375.49 and 4,656.81

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Solution

The fourth proportional to 9,597.58, 14,375.49 and 4,656.81 is: 6,975.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.58 : 14,375.49 = 4,656.81 : x
  2. Step 2: Convert to fraction form
    9,597.58/14,375.49 = 4,656.81/x
  3. Step 3: Cross multiply
    9,597.58x = 14,375.49 × 4,656.81
  4. Step 4: Simplify right side
    9,597.58x = 66,943,925.59
  5. Step 5: Solve for x
    x = 66,943,925.59/9,597.58
  6. Step 6: Final answer
    x = 6,975.08

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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.