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Finding the Fourth Proportional to 4,714.77, 7,116.47 and 4,714.77

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Solution

The fourth proportional to 4,714.77, 7,116.47 and 4,714.77 is: 7,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.77 : 7,116.47 = 4,714.77 : x
  2. Step 2: Convert to fraction form
    4,714.77/7,116.47 = 4,714.77/x
  3. Step 3: Cross multiply
    4,714.77x = 7,116.47 × 4,714.77
  4. Step 4: Simplify right side
    4,714.77x = 33,552,495.69
  5. Step 5: Solve for x
    x = 33,552,495.69/4,714.77
  6. Step 6: Final answer
    x = 7,116.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.