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Finding the Fourth Proportional to 11,295, 15,587.07 and 6,259.23

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Solution

The fourth proportional to 11,295, 15,587.07 and 6,259.23 is: 8,637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,295 : 15,587.07 = 6,259.23 : x
  2. Step 2: Convert to fraction form
    11,295/15,587.07 = 6,259.23/x
  3. Step 3: Cross multiply
    11,295x = 15,587.07 × 6,259.23
  4. Step 4: Simplify right side
    11,295x = 97,563,056.16
  5. Step 5: Solve for x
    x = 97,563,056.16/11,295
  6. Step 6: Final answer
    x = 8,637.72

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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.