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Finding the Fourth Proportional to 16,335, 22,542.30 and 9,261.45

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Solution

The fourth proportional to 16,335, 22,542.30 and 9,261.45 is: 12,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,335 : 22,542.30 = 9,261.45 : x
  2. Step 2: Convert to fraction form
    16,335/22,542.30 = 9,261.45/x
  3. Step 3: Cross multiply
    16,335x = 22,542.30 × 9,261.45
  4. Step 4: Simplify right side
    16,335x = 208,774,384.34
  5. Step 5: Solve for x
    x = 208,774,384.34/16,335
  6. Step 6: Final answer
    x = 12,780.80

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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.