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Finding the Fourth Proportional to 7,601.64, 10,492.76 and 4,457.76

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Solution

The fourth proportional to 7,601.64, 10,492.76 and 4,457.76 is: 6,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.64 : 10,492.76 = 4,457.76 : x
  2. Step 2: Convert to fraction form
    7,601.64/10,492.76 = 4,457.76/x
  3. Step 3: Cross multiply
    7,601.64x = 10,492.76 × 4,457.76
  4. Step 4: Simplify right side
    7,601.64x = 46,774,205.82
  5. Step 5: Solve for x
    x = 46,774,205.82/7,601.64
  6. Step 6: Final answer
    x = 6,153.17

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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.