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Finding the Fourth Proportional to 6,530.04, 9,013.02 and 3,737.16

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Solution

The fourth proportional to 6,530.04, 9,013.02 and 3,737.16 is: 5,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.04 : 9,013.02 = 3,737.16 : x
  2. Step 2: Convert to fraction form
    6,530.04/9,013.02 = 3,737.16/x
  3. Step 3: Cross multiply
    6,530.04x = 9,013.02 × 3,737.16
  4. Step 4: Simplify right side
    6,530.04x = 33,683,097.82
  5. Step 5: Solve for x
    x = 33,683,097.82/6,530.04
  6. Step 6: Final answer
    x = 5,158.18

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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.