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Finding the Fourth Proportional to 9,804.48, 13,521 and 7,562.79

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Solution

The fourth proportional to 9,804.48, 13,521 and 7,562.79 is: 10,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.48 : 13,521 = 7,562.79 : x
  2. Step 2: Convert to fraction form
    9,804.48/13,521 = 7,562.79/x
  3. Step 3: Cross multiply
    9,804.48x = 13,521 × 7,562.79
  4. Step 4: Simplify right side
    9,804.48x = 102,256,483.59
  5. Step 5: Solve for x
    x = 102,256,483.59/9,804.48
  6. Step 6: Final answer
    x = 10,429.57

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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.