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Finding the Fourth Proportional to 9,737.51, 13,442.93 and 7,802.27

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Solution

The fourth proportional to 9,737.51, 13,442.93 and 7,802.27 is: 10,771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.51 : 13,442.93 = 7,802.27 : x
  2. Step 2: Convert to fraction form
    9,737.51/13,442.93 = 7,802.27/x
  3. Step 3: Cross multiply
    9,737.51x = 13,442.93 × 7,802.27
  4. Step 4: Simplify right side
    9,737.51x = 104,885,263.23
  5. Step 5: Solve for x
    x = 104,885,263.23/9,737.51
  6. Step 6: Final answer
    x = 10,771.26

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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.