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Finding the Fourth Proportional to 12,714.56, 17,543.04 and 9,733.76

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Solution

The fourth proportional to 12,714.56, 17,543.04 and 9,733.76 is: 13,430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.56 : 17,543.04 = 9,733.76 : x
  2. Step 2: Convert to fraction form
    12,714.56/17,543.04 = 9,733.76/x
  3. Step 3: Cross multiply
    12,714.56x = 17,543.04 × 9,733.76
  4. Step 4: Simplify right side
    12,714.56x = 170,759,741.03
  5. Step 5: Solve for x
    x = 170,759,741.03/12,714.56
  6. Step 6: Final answer
    x = 13,430.25

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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.