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Finding the Fourth Proportional to 15,762.92, 21,748.90 and 10,018.28

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Solution

The fourth proportional to 15,762.92, 21,748.90 and 10,018.28 is: 13,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.92 : 21,748.90 = 10,018.28 : x
  2. Step 2: Convert to fraction form
    15,762.92/21,748.90 = 10,018.28/x
  3. Step 3: Cross multiply
    15,762.92x = 21,748.90 × 10,018.28
  4. Step 4: Simplify right side
    15,762.92x = 217,886,569.89
  5. Step 5: Solve for x
    x = 217,886,569.89/15,762.92
  6. Step 6: Final answer
    x = 13,822.73

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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.