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Finding the Fourth Proportional to 9,602.65, 14,393.55 and 4,916.23

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Solution

The fourth proportional to 9,602.65, 14,393.55 and 4,916.23 is: 7,369.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.65 : 14,393.55 = 4,916.23 : x
  2. Step 2: Convert to fraction form
    9,602.65/14,393.55 = 4,916.23/x
  3. Step 3: Cross multiply
    9,602.65x = 14,393.55 × 4,916.23
  4. Step 4: Simplify right side
    9,602.65x = 70,761,984.77
  5. Step 5: Solve for x
    x = 70,761,984.77/9,602.65
  6. Step 6: Final answer
    x = 7,369.01

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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.