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Finding the Fourth Proportional to 9,714.58, 13,411.65 and 6,412.18

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Solution

The fourth proportional to 9,714.58, 13,411.65 and 6,412.18 is: 8,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.58 : 13,411.65 = 6,412.18 : x
  2. Step 2: Convert to fraction form
    9,714.58/13,411.65 = 6,412.18/x
  3. Step 3: Cross multiply
    9,714.58x = 13,411.65 × 6,412.18
  4. Step 4: Simplify right side
    9,714.58x = 85,997,913.90
  5. Step 5: Solve for x
    x = 85,997,913.90/9,714.58
  6. Step 6: Final answer
    x = 8,852.46

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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.