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Finding the Fourth Proportional to 8,500.68, 12,749.76 and 4,547.07

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Solution

The fourth proportional to 8,500.68, 12,749.76 and 4,547.07 is: 6,819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.68 : 12,749.76 = 4,547.07 : x
  2. Step 2: Convert to fraction form
    8,500.68/12,749.76 = 4,547.07/x
  3. Step 3: Cross multiply
    8,500.68x = 12,749.76 × 4,547.07
  4. Step 4: Simplify right side
    8,500.68x = 57,974,051.20
  5. Step 5: Solve for x
    x = 57,974,051.20/8,500.68
  6. Step 6: Final answer
    x = 6,819.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.