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Finding the Fourth Proportional to 7,714.43, 10,646.53 and 4,358.06

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Solution

The fourth proportional to 7,714.43, 10,646.53 and 4,358.06 is: 6,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.43 : 10,646.53 = 4,358.06 : x
  2. Step 2: Convert to fraction form
    7,714.43/10,646.53 = 4,358.06/x
  3. Step 3: Cross multiply
    7,714.43x = 10,646.53 × 4,358.06
  4. Step 4: Simplify right side
    7,714.43x = 46,398,152.40
  5. Step 5: Solve for x
    x = 46,398,152.40/7,714.43
  6. Step 6: Final answer
    x = 6,014.47

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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.