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Finding the Fourth Proportional to 9,527.84, 14,288.16 and 4,595.84

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Solution

The fourth proportional to 9,527.84, 14,288.16 and 4,595.84 is: 6,892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.84 : 14,288.16 = 4,595.84 : x
  2. Step 2: Convert to fraction form
    9,527.84/14,288.16 = 4,595.84/x
  3. Step 3: Cross multiply
    9,527.84x = 14,288.16 × 4,595.84
  4. Step 4: Simplify right side
    9,527.84x = 65,666,097.25
  5. Step 5: Solve for x
    x = 65,666,097.25/9,527.84
  6. Step 6: Final answer
    x = 6,892.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.