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Finding the Fourth Proportional to 9,572.93, 14,357.50 and 9,098.24

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Solution

The fourth proportional to 9,572.93, 14,357.50 and 9,098.24 is: 13,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.93 : 14,357.50 = 9,098.24 : x
  2. Step 2: Convert to fraction form
    9,572.93/14,357.50 = 9,098.24/x
  3. Step 3: Cross multiply
    9,572.93x = 14,357.50 × 9,098.24
  4. Step 4: Simplify right side
    9,572.93x = 130,628,018.21
  5. Step 5: Solve for x
    x = 130,628,018.21/9,572.93
  6. Step 6: Final answer
    x = 13,645.56

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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.