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Finding the Fourth Proportional to 11,492.99, 15,862.18 and 10,742.58

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Solution

The fourth proportional to 11,492.99, 15,862.18 and 10,742.58 is: 14,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.99 : 15,862.18 = 10,742.58 : x
  2. Step 2: Convert to fraction form
    11,492.99/15,862.18 = 10,742.58/x
  3. Step 3: Cross multiply
    11,492.99x = 15,862.18 × 10,742.58
  4. Step 4: Simplify right side
    11,492.99x = 170,400,710.77
  5. Step 5: Solve for x
    x = 170,400,710.77/11,492.99
  6. Step 6: Final answer
    x = 14,826.49

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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.