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Finding the Fourth Proportional to 7,784.26, 11,607.84 and 7,714.06

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Solution

The fourth proportional to 7,784.26, 11,607.84 and 7,714.06 is: 11,503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.26 : 11,607.84 = 7,714.06 : x
  2. Step 2: Convert to fraction form
    7,784.26/11,607.84 = 7,714.06/x
  3. Step 3: Cross multiply
    7,784.26x = 11,607.84 × 7,714.06
  4. Step 4: Simplify right side
    7,784.26x = 89,543,574.23
  5. Step 5: Solve for x
    x = 89,543,574.23/7,784.26
  6. Step 6: Final answer
    x = 11,503.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.