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Finding the Fourth Proportional to 10,953.46, 15,114.90 and 6,477.40

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Solution

The fourth proportional to 10,953.46, 15,114.90 and 6,477.40 is: 8,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.46 : 15,114.90 = 6,477.40 : x
  2. Step 2: Convert to fraction form
    10,953.46/15,114.90 = 6,477.40/x
  3. Step 3: Cross multiply
    10,953.46x = 15,114.90 × 6,477.40
  4. Step 4: Simplify right side
    10,953.46x = 97,905,253.26
  5. Step 5: Solve for x
    x = 97,905,253.26/10,953.46
  6. Step 6: Final answer
    x = 8,938.29

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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.