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Finding the Fourth Proportional to 11,492.76, 15,860 and 6,524.76

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Solution

The fourth proportional to 11,492.76, 15,860 and 6,524.76 is: 9,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.76 : 15,860 = 6,524.76 : x
  2. Step 2: Convert to fraction form
    11,492.76/15,860 = 6,524.76/x
  3. Step 3: Cross multiply
    11,492.76x = 15,860 × 6,524.76
  4. Step 4: Simplify right side
    11,492.76x = 103,482,693.60
  5. Step 5: Solve for x
    x = 103,482,693.60/11,492.76
  6. Step 6: Final answer
    x = 9,004.16

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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.