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Finding the Fourth Proportional to 11,590.95, 15,989.34 and 7,055.01

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Solution

The fourth proportional to 11,590.95, 15,989.34 and 7,055.01 is: 9,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.95 : 15,989.34 = 7,055.01 : x
  2. Step 2: Convert to fraction form
    11,590.95/15,989.34 = 7,055.01/x
  3. Step 3: Cross multiply
    11,590.95x = 15,989.34 × 7,055.01
  4. Step 4: Simplify right side
    11,590.95x = 112,804,953.59
  5. Step 5: Solve for x
    x = 112,804,953.59/11,590.95
  6. Step 6: Final answer
    x = 9,732.16

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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.