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Finding the Fourth Proportional to 9,597.84, 13,241.16 and 7,508.40

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Solution

The fourth proportional to 9,597.84, 13,241.16 and 7,508.40 is: 10,358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.84 : 13,241.16 = 7,508.40 : x
  2. Step 2: Convert to fraction form
    9,597.84/13,241.16 = 7,508.40/x
  3. Step 3: Cross multiply
    9,597.84x = 13,241.16 × 7,508.40
  4. Step 4: Simplify right side
    9,597.84x = 99,419,925.74
  5. Step 5: Solve for x
    x = 99,419,925.74/9,597.84
  6. Step 6: Final answer
    x = 10,358.57

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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.