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Finding the Fourth Proportional to 11,264.76, 16,864.23 and 9,050.40

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Solution

The fourth proportional to 11,264.76, 16,864.23 and 9,050.40 is: 13,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.76 : 16,864.23 = 9,050.40 : x
  2. Step 2: Convert to fraction form
    11,264.76/16,864.23 = 9,050.40/x
  3. Step 3: Cross multiply
    11,264.76x = 16,864.23 × 9,050.40
  4. Step 4: Simplify right side
    11,264.76x = 152,628,027.19
  5. Step 5: Solve for x
    x = 152,628,027.19/11,264.76
  6. Step 6: Final answer
    x = 13,549.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.