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Finding the Fourth Proportional to 9,492.68, 13,087.68 and 7,784.93

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Solution

The fourth proportional to 9,492.68, 13,087.68 and 7,784.93 is: 10,733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.68 : 13,087.68 = 7,784.93 : x
  2. Step 2: Convert to fraction form
    9,492.68/13,087.68 = 7,784.93/x
  3. Step 3: Cross multiply
    9,492.68x = 13,087.68 × 7,784.93
  4. Step 4: Simplify right side
    9,492.68x = 101,886,607.22
  5. Step 5: Solve for x
    x = 101,886,607.22/9,492.68
  6. Step 6: Final answer
    x = 10,733.18

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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.