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Finding the Fourth Proportional to 10,348, 14,280.96 and 6,160.48

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Solution

The fourth proportional to 10,348, 14,280.96 and 6,160.48 is: 8,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348 : 14,280.96 = 6,160.48 : x
  2. Step 2: Convert to fraction form
    10,348/14,280.96 = 6,160.48/x
  3. Step 3: Cross multiply
    10,348x = 14,280.96 × 6,160.48
  4. Step 4: Simplify right side
    10,348x = 87,977,568.46
  5. Step 5: Solve for x
    x = 87,977,568.46/10,348
  6. Step 6: Final answer
    x = 8,501.89

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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.