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Finding the Fourth Proportional to 15,762.96, 21,752.16 and 9,043.98

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Solution

The fourth proportional to 15,762.96, 21,752.16 and 9,043.98 is: 12,480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.96 : 21,752.16 = 9,043.98 : x
  2. Step 2: Convert to fraction form
    15,762.96/21,752.16 = 9,043.98/x
  3. Step 3: Cross multiply
    15,762.96x = 21,752.16 × 9,043.98
  4. Step 4: Simplify right side
    15,762.96x = 196,726,100.00
  5. Step 5: Solve for x
    x = 196,726,100.00/15,762.96
  6. Step 6: Final answer
    x = 12,480.28

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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.