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Finding the Fourth Proportional to 4,762.59, 7,143.53 and 1,300.11

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Solution

The fourth proportional to 4,762.59, 7,143.53 and 1,300.11 is: 1,950.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.59 : 7,143.53 = 1,300.11 : x
  2. Step 2: Convert to fraction form
    4,762.59/7,143.53 = 1,300.11/x
  3. Step 3: Cross multiply
    4,762.59x = 7,143.53 × 1,300.11
  4. Step 4: Simplify right side
    4,762.59x = 9,287,368.29
  5. Step 5: Solve for x
    x = 9,287,368.29/4,762.59
  6. Step 6: Final answer
    x = 1,950.07

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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.