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Finding the Fourth Proportional to 9,587.16, 14,461.74 and 9,082.98

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Solution

The fourth proportional to 9,587.16, 14,461.74 and 9,082.98 is: 13,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.16 : 14,461.74 = 9,082.98 : x
  2. Step 2: Convert to fraction form
    9,587.16/14,461.74 = 9,082.98/x
  3. Step 3: Cross multiply
    9,587.16x = 14,461.74 × 9,082.98
  4. Step 4: Simplify right side
    9,587.16x = 131,355,695.19
  5. Step 5: Solve for x
    x = 131,355,695.19/9,587.16
  6. Step 6: Final answer
    x = 13,701.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.