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Finding the Fourth Proportional to 7,584.10, 10,501.05 and 7,000.90

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Solution

The fourth proportional to 7,584.10, 10,501.05 and 7,000.90 is: 9,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.10 : 10,501.05 = 7,000.90 : x
  2. Step 2: Convert to fraction form
    7,584.10/10,501.05 = 7,000.90/x
  3. Step 3: Cross multiply
    7,584.10x = 10,501.05 × 7,000.90
  4. Step 4: Simplify right side
    7,584.10x = 73,516,800.95
  5. Step 5: Solve for x
    x = 73,516,800.95/7,584.10
  6. Step 6: Final answer
    x = 9,693.54

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Similar ratio
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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.