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Finding the Fourth Proportional to 12,567, 18,923.73 and 9,303.24

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Solution

The fourth proportional to 12,567, 18,923.73 and 9,303.24 is: 14,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567 : 18,923.73 = 9,303.24 : x
  2. Step 2: Convert to fraction form
    12,567/18,923.73 = 9,303.24/x
  3. Step 3: Cross multiply
    12,567x = 18,923.73 × 9,303.24
  4. Step 4: Simplify right side
    12,567x = 176,052,001.89
  5. Step 5: Solve for x
    x = 176,052,001.89/12,567
  6. Step 6: Final answer
    x = 14,009.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.