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Finding the Fourth Proportional to 9,531.84, 14,294.16 and 4,599.84

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Solution

The fourth proportional to 9,531.84, 14,294.16 and 4,599.84 is: 6,898.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.84 : 14,294.16 = 4,599.84 : x
  2. Step 2: Convert to fraction form
    9,531.84/14,294.16 = 4,599.84/x
  3. Step 3: Cross multiply
    9,531.84x = 14,294.16 × 4,599.84
  4. Step 4: Simplify right side
    9,531.84x = 65,750,848.93
  5. Step 5: Solve for x
    x = 65,750,848.93/9,531.84
  6. Step 6: Final answer
    x = 6,898.02

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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.