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Finding the Fourth Proportional to 10,276, 14,177.58 and 6,295.12

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Solution

The fourth proportional to 10,276, 14,177.58 and 6,295.12 is: 8,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276 : 14,177.58 = 6,295.12 : x
  2. Step 2: Convert to fraction form
    10,276/14,177.58 = 6,295.12/x
  3. Step 3: Cross multiply
    10,276x = 14,177.58 × 6,295.12
  4. Step 4: Simplify right side
    10,276x = 89,249,567.41
  5. Step 5: Solve for x
    x = 89,249,567.41/10,276
  6. Step 6: Final answer
    x = 8,685.24

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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.