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Finding the Fourth Proportional to 7,038.36, 9,714.42 and 5,858.28

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Solution

The fourth proportional to 7,038.36, 9,714.42 and 5,858.28 is: 8,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.36 : 9,714.42 = 5,858.28 : x
  2. Step 2: Convert to fraction form
    7,038.36/9,714.42 = 5,858.28/x
  3. Step 3: Cross multiply
    7,038.36x = 9,714.42 × 5,858.28
  4. Step 4: Simplify right side
    7,038.36x = 56,909,792.40
  5. Step 5: Solve for x
    x = 56,909,792.40/7,038.36
  6. Step 6: Final answer
    x = 8,085.66

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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.