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Finding the Fourth Proportional to 7,582, 10,464.60 and 4,270

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Solution

The fourth proportional to 7,582, 10,464.60 and 4,270 is: 5,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582 : 10,464.60 = 4,270 : x
  2. Step 2: Convert to fraction form
    7,582/10,464.60 = 4,270/x
  3. Step 3: Cross multiply
    7,582x = 10,464.60 × 4,270
  4. Step 4: Simplify right side
    7,582x = 44,683,842
  5. Step 5: Solve for x
    x = 44,683,842/7,582
  6. Step 6: Final answer
    x = 5,893.41

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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.