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Finding the Fourth Proportional to 7,606.53, 10,498.01 and 4,463.01

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Solution

The fourth proportional to 7,606.53, 10,498.01 and 4,463.01 is: 6,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.53 : 10,498.01 = 4,463.01 : x
  2. Step 2: Convert to fraction form
    7,606.53/10,498.01 = 4,463.01/x
  3. Step 3: Cross multiply
    7,606.53x = 10,498.01 × 4,463.01
  4. Step 4: Simplify right side
    7,606.53x = 46,852,701.30
  5. Step 5: Solve for x
    x = 46,852,701.30/7,606.53
  6. Step 6: Final answer
    x = 6,159.54

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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.