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Finding the Fourth Proportional to 13,006.55, 17,948.98 and 7,038.33

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Solution

The fourth proportional to 13,006.55, 17,948.98 and 7,038.33 is: 9,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.55 : 17,948.98 = 7,038.33 : x
  2. Step 2: Convert to fraction form
    13,006.55/17,948.98 = 7,038.33/x
  3. Step 3: Cross multiply
    13,006.55x = 17,948.98 × 7,038.33
  4. Step 4: Simplify right side
    13,006.55x = 126,330,844.40
  5. Step 5: Solve for x
    x = 126,330,844.40/13,006.55
  6. Step 6: Final answer
    x = 9,712.86

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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.