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Finding the Fourth Proportional to 12,967.86, 17,895.48 and 7,303.16

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Solution

The fourth proportional to 12,967.86, 17,895.48 and 7,303.16 is: 10,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.86 : 17,895.48 = 7,303.16 : x
  2. Step 2: Convert to fraction form
    12,967.86/17,895.48 = 7,303.16/x
  3. Step 3: Cross multiply
    12,967.86x = 17,895.48 × 7,303.16
  4. Step 4: Simplify right side
    12,967.86x = 130,693,571.07
  5. Step 5: Solve for x
    x = 130,693,571.07/12,967.86
  6. Step 6: Final answer
    x = 10,078.27

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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.