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Finding the Fourth Proportional to 9,822.56, 13,547.76 and 7,180.64

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Solution

The fourth proportional to 9,822.56, 13,547.76 and 7,180.64 is: 9,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.56 : 13,547.76 = 7,180.64 : x
  2. Step 2: Convert to fraction form
    9,822.56/13,547.76 = 7,180.64/x
  3. Step 3: Cross multiply
    9,822.56x = 13,547.76 × 7,180.64
  4. Step 4: Simplify right side
    9,822.56x = 97,281,587.37
  5. Step 5: Solve for x
    x = 97,281,587.37/9,822.56
  6. Step 6: Final answer
    x = 9,903.89

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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.