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Finding the Fourth Proportional to 16,647.96, 22,973.16 and 9,092.76

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Solution

The fourth proportional to 16,647.96, 22,973.16 and 9,092.76 is: 12,547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.96 : 22,973.16 = 9,092.76 : x
  2. Step 2: Convert to fraction form
    16,647.96/22,973.16 = 9,092.76/x
  3. Step 3: Cross multiply
    16,647.96x = 22,973.16 × 9,092.76
  4. Step 4: Simplify right side
    16,647.96x = 208,889,430.32
  5. Step 5: Solve for x
    x = 208,889,430.32/16,647.96
  6. Step 6: Final answer
    x = 12,547.45

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Half scale
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Double scale
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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.