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Finding the Fourth Proportional to 10,527, 14,528 and 6,548.28

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Solution

The fourth proportional to 10,527, 14,528 and 6,548.28 is: 9,037.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527 : 14,528 = 6,548.28 : x
  2. Step 2: Convert to fraction form
    10,527/14,528 = 6,548.28/x
  3. Step 3: Cross multiply
    10,527x = 14,528 × 6,548.28
  4. Step 4: Simplify right side
    10,527x = 95,133,411.84
  5. Step 5: Solve for x
    x = 95,133,411.84/10,527
  6. Step 6: Final answer
    x = 9,037.09

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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.