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Finding the Fourth Proportional to 7,312.77, 10,970.06 and 2,381.08

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Solution

The fourth proportional to 7,312.77, 10,970.06 and 2,381.08 is: 3,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.77 : 10,970.06 = 2,381.08 : x
  2. Step 2: Convert to fraction form
    7,312.77/10,970.06 = 2,381.08/x
  3. Step 3: Cross multiply
    7,312.77x = 10,970.06 × 2,381.08
  4. Step 4: Simplify right side
    7,312.77x = 26,120,590.46
  5. Step 5: Solve for x
    x = 26,120,590.46/7,312.77
  6. Step 6: Final answer
    x = 3,571.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.