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Finding the Fourth Proportional to 9,804.51, 13,521 and 7,562.84

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Solution

The fourth proportional to 9,804.51, 13,521 and 7,562.84 is: 10,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.51 : 13,521 = 7,562.84 : x
  2. Step 2: Convert to fraction form
    9,804.51/13,521 = 7,562.84/x
  3. Step 3: Cross multiply
    9,804.51x = 13,521 × 7,562.84
  4. Step 4: Simplify right side
    9,804.51x = 102,257,092.04
  5. Step 5: Solve for x
    x = 102,257,092.04/9,804.51
  6. Step 6: Final answer
    x = 10,429.60

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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.