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Finding the Fourth Proportional to 5,547.84, 8,262.08 and 5,212.50

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Solution

The fourth proportional to 5,547.84, 8,262.08 and 5,212.50 is: 7,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.84 : 8,262.08 = 5,212.50 : x
  2. Step 2: Convert to fraction form
    5,547.84/8,262.08 = 5,212.50/x
  3. Step 3: Cross multiply
    5,547.84x = 8,262.08 × 5,212.50
  4. Step 4: Simplify right side
    5,547.84x = 43,066,065.94
  5. Step 5: Solve for x
    x = 43,066,065.94/5,547.84
  6. Step 6: Final answer
    x = 7,762.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.