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Finding the Fourth Proportional to 9,374.05, 12,931.07 and 6,013.12

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Solution

The fourth proportional to 9,374.05, 12,931.07 and 6,013.12 is: 8,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.05 : 12,931.07 = 6,013.12 : x
  2. Step 2: Convert to fraction form
    9,374.05/12,931.07 = 6,013.12/x
  3. Step 3: Cross multiply
    9,374.05x = 12,931.07 × 6,013.12
  4. Step 4: Simplify right side
    9,374.05x = 77,756,075.64
  5. Step 5: Solve for x
    x = 77,756,075.64/9,374.05
  6. Step 6: Final answer
    x = 8,294.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.