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Finding the Fourth Proportional to 10,615.51, 14,649.10 and 6,078.04

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Solution

The fourth proportional to 10,615.51, 14,649.10 and 6,078.04 is: 8,387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.51 : 14,649.10 = 6,078.04 : x
  2. Step 2: Convert to fraction form
    10,615.51/14,649.10 = 6,078.04/x
  3. Step 3: Cross multiply
    10,615.51x = 14,649.10 × 6,078.04
  4. Step 4: Simplify right side
    10,615.51x = 89,037,834.29
  5. Step 5: Solve for x
    x = 89,037,834.29/10,615.51
  6. Step 6: Final answer
    x = 8,387.52

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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.