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Finding the Fourth Proportional to 15,767.34, 21,762.08 and 9,057.57

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Solution

The fourth proportional to 15,767.34, 21,762.08 and 9,057.57 is: 12,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.34 : 21,762.08 = 9,057.57 : x
  2. Step 2: Convert to fraction form
    15,767.34/21,762.08 = 9,057.57/x
  3. Step 3: Cross multiply
    15,767.34x = 21,762.08 × 9,057.57
  4. Step 4: Simplify right side
    15,767.34x = 197,111,562.95
  5. Step 5: Solve for x
    x = 197,111,562.95/15,767.34
  6. Step 6: Final answer
    x = 12,501.26

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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.