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Finding the Fourth Proportional to 10,685.75, 14,746.07 and 5,970.07

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Solution

The fourth proportional to 10,685.75, 14,746.07 and 5,970.07 is: 8,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.75 : 14,746.07 = 5,970.07 : x
  2. Step 2: Convert to fraction form
    10,685.75/14,746.07 = 5,970.07/x
  3. Step 3: Cross multiply
    10,685.75x = 14,746.07 × 5,970.07
  4. Step 4: Simplify right side
    10,685.75x = 88,034,966.54
  5. Step 5: Solve for x
    x = 88,034,966.54/10,685.75
  6. Step 6: Final answer
    x = 8,238.54

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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.