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Finding the Fourth Proportional to 22,509.93, 33,761.43 and 7,715.46

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Solution

The fourth proportional to 22,509.93, 33,761.43 and 7,715.46 is: 11,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.93 : 33,761.43 = 7,715.46 : x
  2. Step 2: Convert to fraction form
    22,509.93/33,761.43 = 7,715.46/x
  3. Step 3: Cross multiply
    22,509.93x = 33,761.43 × 7,715.46
  4. Step 4: Simplify right side
    22,509.93x = 260,484,962.71
  5. Step 5: Solve for x
    x = 260,484,962.71/22,509.93
  6. Step 6: Final answer
    x = 11,572.00

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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.