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Finding the Fourth Proportional to 7,038.58, 9,713.13 and 3,894.77

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Solution

The fourth proportional to 7,038.58, 9,713.13 and 3,894.77 is: 5,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.58 : 9,713.13 = 3,894.77 : x
  2. Step 2: Convert to fraction form
    7,038.58/9,713.13 = 3,894.77/x
  3. Step 3: Cross multiply
    7,038.58x = 9,713.13 × 3,894.77
  4. Step 4: Simplify right side
    7,038.58x = 37,830,407.33
  5. Step 5: Solve for x
    x = 37,830,407.33/7,038.58
  6. Step 6: Final answer
    x = 5,374.72

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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.