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Finding the Fourth Proportional to 37,476, 56,214.54 and 9,774

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Solution

The fourth proportional to 37,476, 56,214.54 and 9,774 is: 14,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,476 : 56,214.54 = 9,774 : x
  2. Step 2: Convert to fraction form
    37,476/56,214.54 = 9,774/x
  3. Step 3: Cross multiply
    37,476x = 56,214.54 × 9,774
  4. Step 4: Simplify right side
    37,476x = 549,440,913.96
  5. Step 5: Solve for x
    x = 549,440,913.96/37,476
  6. Step 6: Final answer
    x = 14,661.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.