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Finding the Fourth Proportional to 9,205.06, 12,703.05 and 5,013.22

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Solution

The fourth proportional to 9,205.06, 12,703.05 and 5,013.22 is: 6,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.06 : 12,703.05 = 5,013.22 : x
  2. Step 2: Convert to fraction form
    9,205.06/12,703.05 = 5,013.22/x
  3. Step 3: Cross multiply
    9,205.06x = 12,703.05 × 5,013.22
  4. Step 4: Simplify right side
    9,205.06x = 63,683,184.32
  5. Step 5: Solve for x
    x = 63,683,184.32/9,205.06
  6. Step 6: Final answer
    x = 6,918.28

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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.