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Finding the Fourth Proportional to 10,133.41, 13,973.08 and 6,590.05

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Solution

The fourth proportional to 10,133.41, 13,973.08 and 6,590.05 is: 9,087.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.41 : 13,973.08 = 6,590.05 : x
  2. Step 2: Convert to fraction form
    10,133.41/13,973.08 = 6,590.05/x
  3. Step 3: Cross multiply
    10,133.41x = 13,973.08 × 6,590.05
  4. Step 4: Simplify right side
    10,133.41x = 92,083,295.85
  5. Step 5: Solve for x
    x = 92,083,295.85/10,133.41
  6. Step 6: Final answer
    x = 9,087.10

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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.