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Finding the Fourth Proportional to 34,437, 51,655.50 and 9,813

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Solution

The fourth proportional to 34,437, 51,655.50 and 9,813 is: 14,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,437 : 51,655.50 = 9,813 : x
  2. Step 2: Convert to fraction form
    34,437/51,655.50 = 9,813/x
  3. Step 3: Cross multiply
    34,437x = 51,655.50 × 9,813
  4. Step 4: Simplify right side
    34,437x = 506,895,421.50
  5. Step 5: Solve for x
    x = 506,895,421.50/34,437
  6. Step 6: Final answer
    x = 14,719.50

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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.