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Finding the Fourth Proportional to 7,624.64, 10,570.69 and 7,354.00

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Solution

The fourth proportional to 7,624.64, 10,570.69 and 7,354.00 is: 10,195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.64 : 10,570.69 = 7,354.00 : x
  2. Step 2: Convert to fraction form
    7,624.64/10,570.69 = 7,354.00/x
  3. Step 3: Cross multiply
    7,624.64x = 10,570.69 × 7,354.00
  4. Step 4: Simplify right side
    7,624.64x = 77,736,876.67
  5. Step 5: Solve for x
    x = 77,736,876.67/7,624.64
  6. Step 6: Final answer
    x = 10,195.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.