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Finding the Fourth Proportional to 9,752.84, 14,638.86 and 7,148.36

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Solution

The fourth proportional to 9,752.84, 14,638.86 and 7,148.36 is: 10,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.84 : 14,638.86 = 7,148.36 : x
  2. Step 2: Convert to fraction form
    9,752.84/14,638.86 = 7,148.36/x
  3. Step 3: Cross multiply
    9,752.84x = 14,638.86 × 7,148.36
  4. Step 4: Simplify right side
    9,752.84x = 104,643,841.27
  5. Step 5: Solve for x
    x = 104,643,841.27/9,752.84
  6. Step 6: Final answer
    x = 10,729.58

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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.