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Finding the Fourth Proportional to 7,714.70, 10,646.26 and 4,357.34

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Solution

The fourth proportional to 7,714.70, 10,646.26 and 4,357.34 is: 6,013.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.70 : 10,646.26 = 4,357.34 : x
  2. Step 2: Convert to fraction form
    7,714.70/10,646.26 = 4,357.34/x
  3. Step 3: Cross multiply
    7,714.70x = 10,646.26 × 4,357.34
  4. Step 4: Simplify right side
    7,714.70x = 46,389,390.27
  5. Step 5: Solve for x
    x = 46,389,390.27/7,714.70
  6. Step 6: Final answer
    x = 6,013.12

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Half scale
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Double scale
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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.