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Finding the Fourth Proportional to 6,587.84, 9,873.12 and 4,848.32

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Solution

The fourth proportional to 6,587.84, 9,873.12 and 4,848.32 is: 7,266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.84 : 9,873.12 = 4,848.32 : x
  2. Step 2: Convert to fraction form
    6,587.84/9,873.12 = 4,848.32/x
  3. Step 3: Cross multiply
    6,587.84x = 9,873.12 × 4,848.32
  4. Step 4: Simplify right side
    6,587.84x = 47,868,045.16
  5. Step 5: Solve for x
    x = 47,868,045.16/6,587.84
  6. Step 6: Final answer
    x = 7,266.12

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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.