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Finding the Fourth Proportional to 9,718.32, 13,407.48 and 5,985.84

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Solution

The fourth proportional to 9,718.32, 13,407.48 and 5,985.84 is: 8,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.32 : 13,407.48 = 5,985.84 : x
  2. Step 2: Convert to fraction form
    9,718.32/13,407.48 = 5,985.84/x
  3. Step 3: Cross multiply
    9,718.32x = 13,407.48 × 5,985.84
  4. Step 4: Simplify right side
    9,718.32x = 80,255,030.08
  5. Step 5: Solve for x
    x = 80,255,030.08/9,718.32
  6. Step 6: Final answer
    x = 8,258.12

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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.