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Finding the Fourth Proportional to 9,573.84, 14,354.14 and 4,884.76

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Solution

The fourth proportional to 9,573.84, 14,354.14 and 4,884.76 is: 7,323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.84 : 14,354.14 = 4,884.76 : x
  2. Step 2: Convert to fraction form
    9,573.84/14,354.14 = 4,884.76/x
  3. Step 3: Cross multiply
    9,573.84x = 14,354.14 × 4,884.76
  4. Step 4: Simplify right side
    9,573.84x = 70,116,528.91
  5. Step 5: Solve for x
    x = 70,116,528.91/9,573.84
  6. Step 6: Final answer
    x = 7,323.76

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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.