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Finding the Fourth Proportional to 7,543.86, 11,373.68 and 7,035.67

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Solution

The fourth proportional to 7,543.86, 11,373.68 and 7,035.67 is: 10,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.86 : 11,373.68 = 7,035.67 : x
  2. Step 2: Convert to fraction form
    7,543.86/11,373.68 = 7,035.67/x
  3. Step 3: Cross multiply
    7,543.86x = 11,373.68 × 7,035.67
  4. Step 4: Simplify right side
    7,543.86x = 80,021,459.17
  5. Step 5: Solve for x
    x = 80,021,459.17/7,543.86
  6. Step 6: Final answer
    x = 10,607.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.