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Finding the Fourth Proportional to 3,570.12, 5,355.02 and 973.06

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Solution

The fourth proportional to 3,570.12, 5,355.02 and 973.06 is: 1,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.12 : 5,355.02 = 973.06 : x
  2. Step 2: Convert to fraction form
    3,570.12/5,355.02 = 973.06/x
  3. Step 3: Cross multiply
    3,570.12x = 5,355.02 × 973.06
  4. Step 4: Simplify right side
    3,570.12x = 5,210,728.99
  5. Step 5: Solve for x
    x = 5,210,728.99/3,570.12
  6. Step 6: Final answer
    x = 1,459.54

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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.