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Finding the Fourth Proportional to 15,763.16, 21,762.06 and 10,465.22

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Solution

The fourth proportional to 15,763.16, 21,762.06 and 10,465.22 is: 14,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,763.16 : 21,762.06 = 10,465.22 : x
  2. Step 2: Convert to fraction form
    15,763.16/21,762.06 = 10,465.22/x
  3. Step 3: Cross multiply
    15,763.16x = 21,762.06 × 10,465.22
  4. Step 4: Simplify right side
    15,763.16x = 227,744,745.55
  5. Step 5: Solve for x
    x = 227,744,745.55/15,763.16
  6. Step 6: Final answer
    x = 14,447.91

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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.