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Finding the Fourth Proportional to 7,038.80, 9,713.49 and 4,207.40

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Solution

The fourth proportional to 7,038.80, 9,713.49 and 4,207.40 is: 5,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.80 : 9,713.49 = 4,207.40 : x
  2. Step 2: Convert to fraction form
    7,038.80/9,713.49 = 4,207.40/x
  3. Step 3: Cross multiply
    7,038.80x = 9,713.49 × 4,207.40
  4. Step 4: Simplify right side
    7,038.80x = 40,868,537.83
  5. Step 5: Solve for x
    x = 40,868,537.83/7,038.80
  6. Step 6: Final answer
    x = 5,806.18

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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.