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Finding the Fourth Proportional to 6,714.53, 9,266.32 and 4,594.51

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Solution

The fourth proportional to 6,714.53, 9,266.32 and 4,594.51 is: 6,340.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.53 : 9,266.32 = 4,594.51 : x
  2. Step 2: Convert to fraction form
    6,714.53/9,266.32 = 4,594.51/x
  3. Step 3: Cross multiply
    6,714.53x = 9,266.32 × 4,594.51
  4. Step 4: Simplify right side
    6,714.53x = 42,574,153.76
  5. Step 5: Solve for x
    x = 42,574,153.76/6,714.53
  6. Step 6: Final answer
    x = 6,340.60

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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.