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Finding the Fourth Proportional to 10,510.29, 14,506.65 and 6,534.39

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Solution

The fourth proportional to 10,510.29, 14,506.65 and 6,534.39 is: 9,018.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.29 : 14,506.65 = 6,534.39 : x
  2. Step 2: Convert to fraction form
    10,510.29/14,506.65 = 6,534.39/x
  3. Step 3: Cross multiply
    10,510.29x = 14,506.65 × 6,534.39
  4. Step 4: Simplify right side
    10,510.29x = 94,792,108.69
  5. Step 5: Solve for x
    x = 94,792,108.69/10,510.29
  6. Step 6: Final answer
    x = 9,018.98

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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.