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Finding the Fourth Proportional to 8,510.88, 11,746.10 and 5,153.70

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Solution

The fourth proportional to 8,510.88, 11,746.10 and 5,153.70 is: 7,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.88 : 11,746.10 = 5,153.70 : x
  2. Step 2: Convert to fraction form
    8,510.88/11,746.10 = 5,153.70/x
  3. Step 3: Cross multiply
    8,510.88x = 11,746.10 × 5,153.70
  4. Step 4: Simplify right side
    8,510.88x = 60,535,875.57
  5. Step 5: Solve for x
    x = 60,535,875.57/8,510.88
  6. Step 6: Final answer
    x = 7,112.76

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1.5x scale

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.