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Finding the Fourth Proportional to 4,752.53, 7,130.18 and 1,466.16

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Solution

The fourth proportional to 4,752.53, 7,130.18 and 1,466.16 is: 2,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.53 : 7,130.18 = 1,466.16 : x
  2. Step 2: Convert to fraction form
    4,752.53/7,130.18 = 1,466.16/x
  3. Step 3: Cross multiply
    4,752.53x = 7,130.18 × 1,466.16
  4. Step 4: Simplify right side
    4,752.53x = 10,453,984.71
  5. Step 5: Solve for x
    x = 10,453,984.71/4,752.53
  6. Step 6: Final answer
    x = 2,199.67

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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.