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Finding the Fourth Proportional to 34,312.68, 51,469.02 and 9,688.68

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Solution

The fourth proportional to 34,312.68, 51,469.02 and 9,688.68 is: 14,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,312.68 : 51,469.02 = 9,688.68 : x
  2. Step 2: Convert to fraction form
    34,312.68/51,469.02 = 9,688.68/x
  3. Step 3: Cross multiply
    34,312.68x = 51,469.02 × 9,688.68
  4. Step 4: Simplify right side
    34,312.68x = 498,666,864.69
  5. Step 5: Solve for x
    x = 498,666,864.69/34,312.68
  6. Step 6: Final answer
    x = 14,533.02

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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.